What is the Least Common Multiple of 44628 and 44643?

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 44628 and 44643 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44628 and 44643, than apply into the LCM equation.

GCF(44628,44643) = 3
LCM(44628,44643) = ( 44628 × 44643) / 3
LCM(44628,44643) = 1992327804 / 3
LCM(44628,44643) = 664109268

Least Common Multiple (LCM) of 44628 and 44643 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44628 and 44643. First we will calculate the prime factors of 44628 and 44643.

Prime Factorization of 44628

Prime Factorization of 44643

Now multiplying the highest exponent prime factors to calculate the LCM of 44628 and 44643.

LCM(44628,44643) = 2² × 3¹ × 3719¹ × 23¹ × 647¹
LCM(44628,44643) = 664109268