What is the Least Common Multiple of 45628 and 45639?

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 45628 and 45639 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45628 and 45639, than apply into the LCM equation.

GCF(45628,45639) = 11
LCM(45628,45639) = ( 45628 × 45639) / 11
LCM(45628,45639) = 2082416292 / 11
LCM(45628,45639) = 189310572

Least Common Multiple (LCM) of 45628 and 45639 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45628 and 45639. First we will calculate the prime factors of 45628 and 45639.

Prime Factorization of 45628

Prime Factorization of 45639

Now multiplying the highest exponent prime factors to calculate the LCM of 45628 and 45639.

LCM(45628,45639) = 2² × 11¹ × 17¹ × 61¹ × 3² × 461¹
LCM(45628,45639) = 189310572