What is the Least Common Multiple of 40152 and 40164?

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 40152 and 40164 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40152 and 40164, than apply into the LCM equation.

GCF(40152,40164) = 12
LCM(40152,40164) = ( 40152 × 40164) / 12
LCM(40152,40164) = 1612664928 / 12
LCM(40152,40164) = 134388744

Least Common Multiple (LCM) of 40152 and 40164 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40152 and 40164. First we will calculate the prime factors of 40152 and 40164.

Prime Factorization of 40152

Prime Factorization of 40164

Now multiplying the highest exponent prime factors to calculate the LCM of 40152 and 40164.

LCM(40152,40164) = 2³ × 3¹ × 7¹ × 239¹ × 3347¹
LCM(40152,40164) = 134388744