What is the Least Common Multiple of 92646 and 92657?

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 92646 and 92657 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92646 and 92657, than apply into the LCM equation.

GCF(92646,92657) = 1
LCM(92646,92657) = ( 92646 × 92657) / 1
LCM(92646,92657) = 8584300422 / 1
LCM(92646,92657) = 8584300422

Least Common Multiple (LCM) of 92646 and 92657 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92646 and 92657. First we will calculate the prime factors of 92646 and 92657.

Prime Factorization of 92646

Prime Factorization of 92657

Now multiplying the highest exponent prime factors to calculate the LCM of 92646 and 92657.

LCM(92646,92657) = 2¹ × 3² × 5147¹ × 92657¹
LCM(92646,92657) = 8584300422