Prime factorization of two number a and b are

LCM of a and b is

Correct option is B

he prime factorization of a and b = a = 24 x 3 x 5
b = 22 x 32 x 52
The LCM of a and b is the product of the highest powers of the prime factors of a and b.
Therefore, the LCM of a and b = 24 x 32 x 52.
Information Booster:
1. LCM involves taking the highest powers of all prime factors.
2. GCD (Greatest Common Divisor), on the other hand, uses the lowest powers of all common prime factors.
3. For two numbers, LCM and GCD are related through the formula: LCM(a,b)×GCD(a,b)=a×b
4. Prime factorization breaks down numbers into their prime components, making it easier to calculate LCM and GCD.
5. Understanding the difference between highest and lowest powers of prime factors is crucial in these types of problems.