What is the Least Common Multiple of 44090 and 44095?

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 44090 and 44095 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44090 and 44095, than apply into the LCM equation.

GCF(44090,44095) = 5
LCM(44090,44095) = ( 44090 × 44095) / 5
LCM(44090,44095) = 1944148550 / 5
LCM(44090,44095) = 388829710

Least Common Multiple (LCM) of 44090 and 44095 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44090 and 44095. First we will calculate the prime factors of 44090 and 44095.

Prime Factorization of 44090

Prime Factorization of 44095

Now multiplying the highest exponent prime factors to calculate the LCM of 44090 and 44095.

LCM(44090,44095) = 2¹ × 5¹ × 4409¹ × 8819¹
LCM(44090,44095) = 388829710