What is the Least Common Multiple of 44280 and 44295?

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 44280 and 44295 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44280 and 44295, than apply into the LCM equation.

GCF(44280,44295) = 15
LCM(44280,44295) = ( 44280 × 44295) / 15
LCM(44280,44295) = 1961382600 / 15
LCM(44280,44295) = 130758840

Least Common Multiple (LCM) of 44280 and 44295 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44280 and 44295. First we will calculate the prime factors of 44280 and 44295.

Prime Factorization of 44280

Prime Factorization of 44295

Now multiplying the highest exponent prime factors to calculate the LCM of 44280 and 44295.

LCM(44280,44295) = 2³ × 3³ × 5¹ × 41¹ × 2953¹
LCM(44280,44295) = 130758840