What is the Least Common Multiple of 44828 and 44837?

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 44828 and 44837 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44828 and 44837, than apply into the LCM equation.

GCF(44828,44837) = 1
LCM(44828,44837) = ( 44828 × 44837) / 1
LCM(44828,44837) = 2009953036 / 1
LCM(44828,44837) = 2009953036

Least Common Multiple (LCM) of 44828 and 44837 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44828 and 44837. First we will calculate the prime factors of 44828 and 44837.

Prime Factorization of 44828

Prime Factorization of 44837

Now multiplying the highest exponent prime factors to calculate the LCM of 44828 and 44837.

LCM(44828,44837) = 2² × 7¹ × 1601¹ × 13¹ × 3449¹
LCM(44828,44837) = 2009953036