What is the Least Common Multiple of 92112 and 92120?

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 92120 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 92120, than apply into the LCM equation.

GCF(92112,92120) = 8
LCM(92112,92120) = ( 92112 × 92120) / 8
LCM(92112,92120) = 8485357440 / 8
LCM(92112,92120) = 1060669680

Least Common Multiple (LCM) of 92112 and 92120 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92112 and 92120. First we will calculate the prime factors of 92112 and 92120.

Prime Factorization of 92112

Prime Factorization of 92120

Now multiplying the highest exponent prime factors to calculate the LCM of 92112 and 92120.

LCM(92112,92120) = 2⁴ × 3¹ × 19¹ × 101¹ × 5¹ × 7² × 47¹
LCM(92112,92120) = 1060669680