What is the Least Common Multiple of 44546 and 44556?

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 44546 and 44556 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44546 and 44556, than apply into the LCM equation.

GCF(44546,44556) = 2
LCM(44546,44556) = ( 44546 × 44556) / 2
LCM(44546,44556) = 1984791576 / 2
LCM(44546,44556) = 992395788

Least Common Multiple (LCM) of 44546 and 44556 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44546 and 44556. First we will calculate the prime factors of 44546 and 44556.

Prime Factorization of 44546

Prime Factorization of 44556

Now multiplying the highest exponent prime factors to calculate the LCM of 44546 and 44556.

LCM(44546,44556) = 2² × 22273¹ × 3¹ × 47¹ × 79¹
LCM(44546,44556) = 992395788