What is the Least Common Multiple of 97708 and 97721?

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 97708 and 97721 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97708 and 97721, than apply into the LCM equation.

GCF(97708,97721) = 13
LCM(97708,97721) = ( 97708 × 97721) / 13
LCM(97708,97721) = 9548123468 / 13
LCM(97708,97721) = 734471036

Least Common Multiple (LCM) of 97708 and 97721 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97708 and 97721. First we will calculate the prime factors of 97708 and 97721.

Prime Factorization of 97708

Prime Factorization of 97721

Now multiplying the highest exponent prime factors to calculate the LCM of 97708 and 97721.

LCM(97708,97721) = 2² × 13¹ × 1879¹ × 7517¹
LCM(97708,97721) = 734471036