What is the Least Common Multiple of 44380 and 44392?

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 44380 and 44392 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44380 and 44392, than apply into the LCM equation.

GCF(44380,44392) = 4
LCM(44380,44392) = ( 44380 × 44392) / 4
LCM(44380,44392) = 1970116960 / 4
LCM(44380,44392) = 492529240

Least Common Multiple (LCM) of 44380 and 44392 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44380 and 44392. First we will calculate the prime factors of 44380 and 44392.

Prime Factorization of 44380

Prime Factorization of 44392

Now multiplying the highest exponent prime factors to calculate the LCM of 44380 and 44392.

LCM(44380,44392) = 2³ × 5¹ × 7¹ × 317¹ × 31¹ × 179¹
LCM(44380,44392) = 492529240