What is the Least Common Multiple of 76919 and 76939?

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 76919 and 76939 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76919 and 76939, than apply into the LCM equation.

GCF(76919,76939) = 1
LCM(76919,76939) = ( 76919 × 76939) / 1
LCM(76919,76939) = 5918070941 / 1
LCM(76919,76939) = 5918070941

Least Common Multiple (LCM) of 76919 and 76939 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76919 and 76939. First we will calculate the prime factors of 76919 and 76939.

Prime Factorization of 76919

Prime Factorization of 76939

Now multiplying the highest exponent prime factors to calculate the LCM of 76919 and 76939.

LCM(76919,76939) = 76919¹ × 47¹ × 1637¹
LCM(76919,76939) = 5918070941