What is the Least Common Multiple of 40672 and 40692?

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 40672 and 40692 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40672 and 40692, than apply into the LCM equation.

GCF(40672,40692) = 4
LCM(40672,40692) = ( 40672 × 40692) / 4
LCM(40672,40692) = 1655025024 / 4
LCM(40672,40692) = 413756256

Least Common Multiple (LCM) of 40672 and 40692 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40672 and 40692. First we will calculate the prime factors of 40672 and 40692.

Prime Factorization of 40672

Prime Factorization of 40692

Now multiplying the highest exponent prime factors to calculate the LCM of 40672 and 40692.

LCM(40672,40692) = 2⁵ × 31¹ × 41¹ × 3¹ × 3391¹
LCM(40672,40692) = 413756256