What is the Least Common Multiple of 92688 and 92704?

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 92688 and 92704 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92688 and 92704, than apply into the LCM equation.

GCF(92688,92704) = 16
LCM(92688,92704) = ( 92688 × 92704) / 16
LCM(92688,92704) = 8592548352 / 16
LCM(92688,92704) = 537034272

Least Common Multiple (LCM) of 92688 and 92704 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92688 and 92704. First we will calculate the prime factors of 92688 and 92704.

Prime Factorization of 92688

Prime Factorization of 92704

Now multiplying the highest exponent prime factors to calculate the LCM of 92688 and 92704.

LCM(92688,92704) = 2⁵ × 3¹ × 1931¹ × 2897¹
LCM(92688,92704) = 537034272