What is the Least Common Multiple of 92704 and 92720?

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 92704 and 92720 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92704 and 92720, than apply into the LCM equation.

GCF(92704,92720) = 16
LCM(92704,92720) = ( 92704 × 92720) / 16
LCM(92704,92720) = 8595514880 / 16
LCM(92704,92720) = 537219680

Least Common Multiple (LCM) of 92704 and 92720 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92704 and 92720. First we will calculate the prime factors of 92704 and 92720.

Prime Factorization of 92704

Prime Factorization of 92720

Now multiplying the highest exponent prime factors to calculate the LCM of 92704 and 92720.

LCM(92704,92720) = 2⁵ × 2897¹ × 5¹ × 19¹ × 61¹
LCM(92704,92720) = 537219680