What is the Least Common Multiple of 42972 and 42982?

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 42982 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 42982, than apply into the LCM equation.

GCF(42972,42982) = 2
LCM(42972,42982) = ( 42972 × 42982) / 2
LCM(42972,42982) = 1847022504 / 2
LCM(42972,42982) = 923511252

Least Common Multiple (LCM) of 42972 and 42982 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42972 and 42982. First we will calculate the prime factors of 42972 and 42982.

Prime Factorization of 42972

Prime Factorization of 42982

Now multiplying the highest exponent prime factors to calculate the LCM of 42972 and 42982.

LCM(42972,42982) = 2² × 3¹ × 3581¹ × 21491¹
LCM(42972,42982) = 923511252