What is the Least Common Multiple of 92544 and 92564?

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 92544 and 92564 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92544 and 92564, than apply into the LCM equation.

GCF(92544,92564) = 4
LCM(92544,92564) = ( 92544 × 92564) / 4
LCM(92544,92564) = 8566242816 / 4
LCM(92544,92564) = 2141560704

Least Common Multiple (LCM) of 92544 and 92564 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92544 and 92564. First we will calculate the prime factors of 92544 and 92564.

Prime Factorization of 92544

Prime Factorization of 92564

Now multiplying the highest exponent prime factors to calculate the LCM of 92544 and 92564.

LCM(92544,92564) = 2⁷ × 3¹ × 241¹ × 73¹ × 317¹
LCM(92544,92564) = 2141560704