What is the Least Common Multiple of 95674 and 95694?

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 95674 and 95694 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95674 and 95694, than apply into the LCM equation.

GCF(95674,95694) = 2
LCM(95674,95694) = ( 95674 × 95694) / 2
LCM(95674,95694) = 9155427756 / 2
LCM(95674,95694) = 4577713878

Least Common Multiple (LCM) of 95674 and 95694 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95674 and 95694. First we will calculate the prime factors of 95674 and 95694.

Prime Factorization of 95674

Prime Factorization of 95694

Now multiplying the highest exponent prime factors to calculate the LCM of 95674 and 95694.

LCM(95674,95694) = 2¹ × 47837¹ × 3¹ × 41¹ × 389¹
LCM(95674,95694) = 4577713878