What is the Least Common Multiple of 97632 and 97647?

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 97632 and 97647 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97632 and 97647, than apply into the LCM equation.

GCF(97632,97647) = 3
LCM(97632,97647) = ( 97632 × 97647) / 3
LCM(97632,97647) = 9533471904 / 3
LCM(97632,97647) = 3177823968

Least Common Multiple (LCM) of 97632 and 97647 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97632 and 97647. First we will calculate the prime factors of 97632 and 97647.

Prime Factorization of 97632

Prime Factorization of 97647

Now multiplying the highest exponent prime factors to calculate the LCM of 97632 and 97647.

LCM(97632,97647) = 2⁵ × 3³ × 113¹ × 11² × 269¹
LCM(97632,97647) = 3177823968