What is the Least Common Multiple of 85577 and 85596?

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 85577 and 85596 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85577 and 85596, than apply into the LCM equation.

GCF(85577,85596) = 1
LCM(85577,85596) = ( 85577 × 85596) / 1
LCM(85577,85596) = 7325048892 / 1
LCM(85577,85596) = 7325048892

Least Common Multiple (LCM) of 85577 and 85596 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85577 and 85596. First we will calculate the prime factors of 85577 and 85596.

Prime Factorization of 85577

Prime Factorization of 85596

Now multiplying the highest exponent prime factors to calculate the LCM of 85577 and 85596.

LCM(85577,85596) = 85577¹ × 2² × 3¹ × 7¹ × 1019¹
LCM(85577,85596) = 7325048892