What is the Least Common Multiple of 95576 and 95586?

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 95576 and 95586 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95576 and 95586, than apply into the LCM equation.

GCF(95576,95586) = 2
LCM(95576,95586) = ( 95576 × 95586) / 2
LCM(95576,95586) = 9135727536 / 2
LCM(95576,95586) = 4567863768

Least Common Multiple (LCM) of 95576 and 95586 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95576 and 95586. First we will calculate the prime factors of 95576 and 95586.

Prime Factorization of 95576

Prime Factorization of 95586

Now multiplying the highest exponent prime factors to calculate the LCM of 95576 and 95586.

LCM(95576,95586) = 2³ × 13¹ × 919¹ × 3¹ × 89¹ × 179¹
LCM(95576,95586) = 4567863768