What is the Least Common Multiple of 44978 and 44996?

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 44978 and 44996 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44978 and 44996, than apply into the LCM equation.

GCF(44978,44996) = 2
LCM(44978,44996) = ( 44978 × 44996) / 2
LCM(44978,44996) = 2023830088 / 2
LCM(44978,44996) = 1011915044

Least Common Multiple (LCM) of 44978 and 44996 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44978 and 44996. First we will calculate the prime factors of 44978 and 44996.

Prime Factorization of 44978

Prime Factorization of 44996

Now multiplying the highest exponent prime factors to calculate the LCM of 44978 and 44996.

LCM(44978,44996) = 2² × 43¹ × 523¹ × 7¹ × 1607¹
LCM(44978,44996) = 1011915044