What is the Least Common Multiple of 94758 and 94766?

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 94758 and 94766 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94758 and 94766, than apply into the LCM equation.

GCF(94758,94766) = 2
LCM(94758,94766) = ( 94758 × 94766) / 2
LCM(94758,94766) = 8979836628 / 2
LCM(94758,94766) = 4489918314

Least Common Multiple (LCM) of 94758 and 94766 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94758 and 94766. First we will calculate the prime factors of 94758 and 94766.

Prime Factorization of 94758

Prime Factorization of 94766

Now multiplying the highest exponent prime factors to calculate the LCM of 94758 and 94766.

LCM(94758,94766) = 2¹ × 3¹ × 17¹ × 929¹ × 7² × 967¹
LCM(94758,94766) = 4489918314