What is the Least Common Multiple of 97416 and 97432?

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 97416 and 97432 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97416 and 97432, than apply into the LCM equation.

GCF(97416,97432) = 8
LCM(97416,97432) = ( 97416 × 97432) / 8
LCM(97416,97432) = 9491435712 / 8
LCM(97416,97432) = 1186429464

Least Common Multiple (LCM) of 97416 and 97432 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97416 and 97432. First we will calculate the prime factors of 97416 and 97432.

Prime Factorization of 97416

Prime Factorization of 97432

Now multiplying the highest exponent prime factors to calculate the LCM of 97416 and 97432.

LCM(97416,97432) = 2³ × 3³ × 11¹ × 41¹ × 19¹ × 641¹
LCM(97416,97432) = 1186429464