What is the Least Common Multiple of 95592 and 95611?

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 95592 and 95611 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95592 and 95611, than apply into the LCM equation.

GCF(95592,95611) = 1
LCM(95592,95611) = ( 95592 × 95611) / 1
LCM(95592,95611) = 9139646712 / 1
LCM(95592,95611) = 9139646712

Least Common Multiple (LCM) of 95592 and 95611 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95592 and 95611. First we will calculate the prime factors of 95592 and 95611.

Prime Factorization of 95592

Prime Factorization of 95611

Now multiplying the highest exponent prime factors to calculate the LCM of 95592 and 95611.

LCM(95592,95611) = 2³ × 3¹ × 7¹ × 569¹ × 23¹ × 4157¹
LCM(95592,95611) = 9139646712