What is the Least Common Multiple of 44370 and 44385?

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 44370 and 44385 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44370 and 44385, than apply into the LCM equation.

GCF(44370,44385) = 15
LCM(44370,44385) = ( 44370 × 44385) / 15
LCM(44370,44385) = 1969362450 / 15
LCM(44370,44385) = 131290830

Least Common Multiple (LCM) of 44370 and 44385 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44370 and 44385. First we will calculate the prime factors of 44370 and 44385.

Prime Factorization of 44370

Prime Factorization of 44385

Now multiplying the highest exponent prime factors to calculate the LCM of 44370 and 44385.

LCM(44370,44385) = 2¹ × 3² × 5¹ × 17¹ × 29¹ × 11¹ × 269¹
LCM(44370,44385) = 131290830