What is the Least Common Multiple of 92112 and 92128?

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 92112 and 92128 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92112 and 92128, than apply into the LCM equation.

GCF(92112,92128) = 16
LCM(92112,92128) = ( 92112 × 92128) / 16
LCM(92112,92128) = 8486094336 / 16
LCM(92112,92128) = 530380896

Least Common Multiple (LCM) of 92112 and 92128 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92112 and 92128. First we will calculate the prime factors of 92112 and 92128.

Prime Factorization of 92112

Prime Factorization of 92128

Now multiplying the highest exponent prime factors to calculate the LCM of 92112 and 92128.

LCM(92112,92128) = 2⁵ × 3¹ × 19¹ × 101¹ × 2879¹
LCM(92112,92128) = 530380896