What is the Least Common Multiple of 32508 and 32516?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 32508 and 32516 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32508 and 32516, than apply into the LCM equation.

GCF(32508,32516) = 4
LCM(32508,32516) = ( 32508 × 32516) / 4
LCM(32508,32516) = 1057030128 / 4
LCM(32508,32516) = 264257532

Least Common Multiple (LCM) of 32508 and 32516 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32508 and 32516. First we will calculate the prime factors of 32508 and 32516.

Prime Factorization of 32508

Prime Factorization of 32516

Now multiplying the highest exponent prime factors to calculate the LCM of 32508 and 32516.

LCM(32508,32516) = 2² × 3³ × 7¹ × 43¹ × 11¹ × 739¹
LCM(32508,32516) = 264257532