What is the Least Common Multiple of 42972 and 42981?

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 42972 and 42981 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42972 and 42981, than apply into the LCM equation.

GCF(42972,42981) = 3
LCM(42972,42981) = ( 42972 × 42981) / 3
LCM(42972,42981) = 1846979532 / 3
LCM(42972,42981) = 615659844

Least Common Multiple (LCM) of 42972 and 42981 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42972 and 42981. First we will calculate the prime factors of 42972 and 42981.

Prime Factorization of 42972

Prime Factorization of 42981

Now multiplying the highest exponent prime factors to calculate the LCM of 42972 and 42981.

LCM(42972,42981) = 2² × 3¹ × 3581¹ × 14327¹
LCM(42972,42981) = 615659844