What is the Least Common Multiple of 42140 and 42154?

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 42140 and 42154 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42140 and 42154, than apply into the LCM equation.

GCF(42140,42154) = 14
LCM(42140,42154) = ( 42140 × 42154) / 14
LCM(42140,42154) = 1776369560 / 14
LCM(42140,42154) = 126883540

Least Common Multiple (LCM) of 42140 and 42154 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42140 and 42154. First we will calculate the prime factors of 42140 and 42154.

Prime Factorization of 42140

Prime Factorization of 42154

Now multiplying the highest exponent prime factors to calculate the LCM of 42140 and 42154.

LCM(42140,42154) = 2² × 5¹ × 7² × 43¹ × 3011¹
LCM(42140,42154) = 126883540