What is the Least Common Multiple of 95586 and 95604?

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 95586 and 95604 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95586 and 95604, than apply into the LCM equation.

GCF(95586,95604) = 6
LCM(95586,95604) = ( 95586 × 95604) / 6
LCM(95586,95604) = 9138403944 / 6
LCM(95586,95604) = 1523067324

Least Common Multiple (LCM) of 95586 and 95604 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95586 and 95604. First we will calculate the prime factors of 95586 and 95604.

Prime Factorization of 95586

Prime Factorization of 95604

Now multiplying the highest exponent prime factors to calculate the LCM of 95586 and 95604.

LCM(95586,95604) = 2² × 3¹ × 89¹ × 179¹ × 31¹ × 257¹
LCM(95586,95604) = 1523067324