What is the Least Common Multiple of 97657 and 97677?

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 97657 and 97677 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97657 and 97677, than apply into the LCM equation.

GCF(97657,97677) = 1
LCM(97657,97677) = ( 97657 × 97677) / 1
LCM(97657,97677) = 9538842789 / 1
LCM(97657,97677) = 9538842789

Least Common Multiple (LCM) of 97657 and 97677 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97657 and 97677. First we will calculate the prime factors of 97657 and 97677.

Prime Factorization of 97657

Prime Factorization of 97677

Now multiplying the highest exponent prime factors to calculate the LCM of 97657 and 97677.

LCM(97657,97677) = 7² × 1993¹ × 3² × 10853¹
LCM(97657,97677) = 9538842789