What is the Least Common Multiple of 95474 and 95492?

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 95474 and 95492 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95474 and 95492, than apply into the LCM equation.

GCF(95474,95492) = 2
LCM(95474,95492) = ( 95474 × 95492) / 2
LCM(95474,95492) = 9117003208 / 2
LCM(95474,95492) = 4558501604

Least Common Multiple (LCM) of 95474 and 95492 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95474 and 95492. First we will calculate the prime factors of 95474 and 95492.

Prime Factorization of 95474

Prime Factorization of 95492

Now multiplying the highest exponent prime factors to calculate the LCM of 95474 and 95492.

LCM(95474,95492) = 2² × 47737¹ × 23873¹
LCM(95474,95492) = 4558501604