What is the Least Common Multiple of 44968 and 44983?

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 44968 and 44983 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44968 and 44983, than apply into the LCM equation.

GCF(44968,44983) = 1
LCM(44968,44983) = ( 44968 × 44983) / 1
LCM(44968,44983) = 2022795544 / 1
LCM(44968,44983) = 2022795544

Least Common Multiple (LCM) of 44968 and 44983 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44968 and 44983. First we will calculate the prime factors of 44968 and 44983.

Prime Factorization of 44968

Prime Factorization of 44983

Now multiplying the highest exponent prime factors to calculate the LCM of 44968 and 44983.

LCM(44968,44983) = 2³ × 7¹ × 11¹ × 73¹ × 44983¹
LCM(44968,44983) = 2022795544