What is the Least Common Multiple of 42142 and 42162?

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 42142 and 42162 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42142 and 42162, than apply into the LCM equation.

GCF(42142,42162) = 2
LCM(42142,42162) = ( 42142 × 42162) / 2
LCM(42142,42162) = 1776791004 / 2
LCM(42142,42162) = 888395502

Least Common Multiple (LCM) of 42142 and 42162 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42142 and 42162. First we will calculate the prime factors of 42142 and 42162.

Prime Factorization of 42142

Prime Factorization of 42162

Now multiplying the highest exponent prime factors to calculate the LCM of 42142 and 42162.

LCM(42142,42162) = 2¹ × 19¹ × 1109¹ × 3¹ × 7027¹
LCM(42142,42162) = 888395502