What is the Least Common Multiple of 92778 and 92792?

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 92778 and 92792 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92778 and 92792, than apply into the LCM equation.

GCF(92778,92792) = 14
LCM(92778,92792) = ( 92778 × 92792) / 14
LCM(92778,92792) = 8609056176 / 14
LCM(92778,92792) = 614932584

Least Common Multiple (LCM) of 92778 and 92792 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92778 and 92792. First we will calculate the prime factors of 92778 and 92792.

Prime Factorization of 92778

Prime Factorization of 92792

Now multiplying the highest exponent prime factors to calculate the LCM of 92778 and 92792.

LCM(92778,92792) = 2³ × 3¹ × 7¹ × 47² × 1657¹
LCM(92778,92792) = 614932584