What is the Least Common Multiple of 40872 and 40883?

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 40872 and 40883 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40872 and 40883, than apply into the LCM equation.

GCF(40872,40883) = 1
LCM(40872,40883) = ( 40872 × 40883) / 1
LCM(40872,40883) = 1670969976 / 1
LCM(40872,40883) = 1670969976

Least Common Multiple (LCM) of 40872 and 40883 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40872 and 40883. First we will calculate the prime factors of 40872 and 40883.

Prime Factorization of 40872

Prime Factorization of 40883

Now multiplying the highest exponent prime factors to calculate the LCM of 40872 and 40883.

LCM(40872,40883) = 2³ × 3¹ × 13¹ × 131¹ × 40883¹
LCM(40872,40883) = 1670969976