What is the Least Common Multiple of 92120 and 92138?

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 92120 and 92138 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92120 and 92138, than apply into the LCM equation.

GCF(92120,92138) = 2
LCM(92120,92138) = ( 92120 × 92138) / 2
LCM(92120,92138) = 8487752560 / 2
LCM(92120,92138) = 4243876280

Least Common Multiple (LCM) of 92120 and 92138 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92120 and 92138. First we will calculate the prime factors of 92120 and 92138.

Prime Factorization of 92120

Prime Factorization of 92138

Now multiplying the highest exponent prime factors to calculate the LCM of 92120 and 92138.

LCM(92120,92138) = 2³ × 5¹ × 7² × 47¹ × 23¹ × 2003¹
LCM(92120,92138) = 4243876280