What is the Least Common Multiple of 97940 and 97953?

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 97940 and 97953 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97940 and 97953, than apply into the LCM equation.

GCF(97940,97953) = 1
LCM(97940,97953) = ( 97940 × 97953) / 1
LCM(97940,97953) = 9593516820 / 1
LCM(97940,97953) = 9593516820

Least Common Multiple (LCM) of 97940 and 97953 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97940 and 97953. First we will calculate the prime factors of 97940 and 97953.

Prime Factorization of 97940

Prime Factorization of 97953

Now multiplying the highest exponent prime factors to calculate the LCM of 97940 and 97953.

LCM(97940,97953) = 2² × 5¹ × 59¹ × 83¹ × 3¹ × 103¹ × 317¹
LCM(97940,97953) = 9593516820