What is the Least Common Multiple of 42054 and 42072?

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 42054 and 42072 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42054 and 42072, than apply into the LCM equation.

GCF(42054,42072) = 6
LCM(42054,42072) = ( 42054 × 42072) / 6
LCM(42054,42072) = 1769295888 / 6
LCM(42054,42072) = 294882648

Least Common Multiple (LCM) of 42054 and 42072 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42054 and 42072. First we will calculate the prime factors of 42054 and 42072.

Prime Factorization of 42054

Prime Factorization of 42072

Now multiplying the highest exponent prime factors to calculate the LCM of 42054 and 42072.

LCM(42054,42072) = 2³ × 3¹ × 43¹ × 163¹ × 1753¹
LCM(42054,42072) = 294882648