What is the Least Common Multiple of 40653 and 40672?

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 40653 and 40672 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40653 and 40672, than apply into the LCM equation.

GCF(40653,40672) = 1
LCM(40653,40672) = ( 40653 × 40672) / 1
LCM(40653,40672) = 1653438816 / 1
LCM(40653,40672) = 1653438816

Least Common Multiple (LCM) of 40653 and 40672 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40653 and 40672. First we will calculate the prime factors of 40653 and 40672.

Prime Factorization of 40653

Prime Factorization of 40672

Now multiplying the highest exponent prime factors to calculate the LCM of 40653 and 40672.

LCM(40653,40672) = 3² × 4517¹ × 2⁵ × 31¹ × 41¹
LCM(40653,40672) = 1653438816