What is the Least Common Multiple of 76921 and 76941?

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 76921 and 76941 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76921 and 76941, than apply into the LCM equation.

GCF(76921,76941) = 1
LCM(76921,76941) = ( 76921 × 76941) / 1
LCM(76921,76941) = 5918378661 / 1
LCM(76921,76941) = 5918378661

Least Common Multiple (LCM) of 76921 and 76941 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76921 and 76941. First we will calculate the prime factors of 76921 and 76941.

Prime Factorization of 76921

Prime Factorization of 76941

Now multiplying the highest exponent prime factors to calculate the LCM of 76921 and 76941.

LCM(76921,76941) = 13¹ × 61¹ × 97¹ × 3² × 83¹ × 103¹
LCM(76921,76941) = 5918378661