What is the Least Common Multiple of 44712 and 44719?

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 44712 and 44719 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44712 and 44719, than apply into the LCM equation.

GCF(44712,44719) = 1
LCM(44712,44719) = ( 44712 × 44719) / 1
LCM(44712,44719) = 1999475928 / 1
LCM(44712,44719) = 1999475928

Least Common Multiple (LCM) of 44712 and 44719 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44712 and 44719. First we will calculate the prime factors of 44712 and 44719.

Prime Factorization of 44712

Prime Factorization of 44719

Now multiplying the highest exponent prime factors to calculate the LCM of 44712 and 44719.

LCM(44712,44719) = 2³ × 3⁵ × 23¹ × 197¹ × 227¹
LCM(44712,44719) = 1999475928