What is the Least Common Multiple of 97676 and 97694?

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 97676 and 97694 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97676 and 97694, than apply into the LCM equation.

GCF(97676,97694) = 2
LCM(97676,97694) = ( 97676 × 97694) / 2
LCM(97676,97694) = 9542359144 / 2
LCM(97676,97694) = 4771179572

Least Common Multiple (LCM) of 97676 and 97694 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97676 and 97694. First we will calculate the prime factors of 97676 and 97694.

Prime Factorization of 97676

Prime Factorization of 97694

Now multiplying the highest exponent prime factors to calculate the LCM of 97676 and 97694.

LCM(97676,97694) = 2² × 24419¹ × 48847¹
LCM(97676,97694) = 4771179572