What is the Least Common Multiple of 44725 and 44730?

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 44725 and 44730 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44725 and 44730, than apply into the LCM equation.

GCF(44725,44730) = 5
LCM(44725,44730) = ( 44725 × 44730) / 5
LCM(44725,44730) = 2000549250 / 5
LCM(44725,44730) = 400109850

Least Common Multiple (LCM) of 44725 and 44730 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44725 and 44730. First we will calculate the prime factors of 44725 and 44730.

Prime Factorization of 44725

Prime Factorization of 44730

Now multiplying the highest exponent prime factors to calculate the LCM of 44725 and 44730.

LCM(44725,44730) = 5² × 1789¹ × 2¹ × 3² × 7¹ × 71¹
LCM(44725,44730) = 400109850