What is the Least Common Multiple of 44315 and 44335?

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 44315 and 44335 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44315 and 44335, than apply into the LCM equation.

GCF(44315,44335) = 5
LCM(44315,44335) = ( 44315 × 44335) / 5
LCM(44315,44335) = 1964705525 / 5
LCM(44315,44335) = 392941105

Least Common Multiple (LCM) of 44315 and 44335 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44315 and 44335. First we will calculate the prime factors of 44315 and 44335.

Prime Factorization of 44315

Prime Factorization of 44335

Now multiplying the highest exponent prime factors to calculate the LCM of 44315 and 44335.

LCM(44315,44335) = 5¹ × 8863¹ × 8867¹
LCM(44315,44335) = 392941105