What is the Least Common Multiple of 40138 and 40152?

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 40138 and 40152 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40138 and 40152, than apply into the LCM equation.

GCF(40138,40152) = 14
LCM(40138,40152) = ( 40138 × 40152) / 14
LCM(40138,40152) = 1611620976 / 14
LCM(40138,40152) = 115115784

Least Common Multiple (LCM) of 40138 and 40152 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40138 and 40152. First we will calculate the prime factors of 40138 and 40152.

Prime Factorization of 40138

Prime Factorization of 40152

Now multiplying the highest exponent prime factors to calculate the LCM of 40138 and 40152.

LCM(40138,40152) = 2³ × 7¹ × 47¹ × 61¹ × 3¹ × 239¹
LCM(40138,40152) = 115115784