What is the Least Common Multiple of 85919 and 85939?

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 85919 and 85939 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85919 and 85939, than apply into the LCM equation.

GCF(85919,85939) = 1
LCM(85919,85939) = ( 85919 × 85939) / 1
LCM(85919,85939) = 7383792941 / 1
LCM(85919,85939) = 7383792941

Least Common Multiple (LCM) of 85919 and 85939 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85919 and 85939. First we will calculate the prime factors of 85919 and 85939.

Prime Factorization of 85919

Prime Factorization of 85939

Now multiplying the highest exponent prime factors to calculate the LCM of 85919 and 85939.

LCM(85919,85939) = 151¹ × 569¹ × 7¹ × 12277¹
LCM(85919,85939) = 7383792941