What is the Least Common Multiple of 92548 and 92568?

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 92548 and 92568 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92548 and 92568, than apply into the LCM equation.

GCF(92548,92568) = 4
LCM(92548,92568) = ( 92548 × 92568) / 4
LCM(92548,92568) = 8566983264 / 4
LCM(92548,92568) = 2141745816

Least Common Multiple (LCM) of 92548 and 92568 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92548 and 92568. First we will calculate the prime factors of 92548 and 92568.

Prime Factorization of 92548

Prime Factorization of 92568

Now multiplying the highest exponent prime factors to calculate the LCM of 92548 and 92568.

LCM(92548,92568) = 2³ × 17¹ × 1361¹ × 3¹ × 7¹ × 19¹ × 29¹
LCM(92548,92568) = 2141745816