What is the Least Common Multiple of 44730 and 44735?

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 44730 and 44735 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44730 and 44735, than apply into the LCM equation.

GCF(44730,44735) = 5
LCM(44730,44735) = ( 44730 × 44735) / 5
LCM(44730,44735) = 2000996550 / 5
LCM(44730,44735) = 400199310

Least Common Multiple (LCM) of 44730 and 44735 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44730 and 44735. First we will calculate the prime factors of 44730 and 44735.

Prime Factorization of 44730

Prime Factorization of 44735

Now multiplying the highest exponent prime factors to calculate the LCM of 44730 and 44735.

LCM(44730,44735) = 2¹ × 3² × 5¹ × 7¹ × 71¹ × 23¹ × 389¹
LCM(44730,44735) = 400199310