What is the Least Common Multiple of 44968 and 44986?

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 44986 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 44986, than apply into the LCM equation.

GCF(44968,44986) = 2
LCM(44968,44986) = ( 44968 × 44986) / 2
LCM(44968,44986) = 2022930448 / 2
LCM(44968,44986) = 1011465224

Least Common Multiple (LCM) of 44968 and 44986 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44968 and 44986. First we will calculate the prime factors of 44968 and 44986.

Prime Factorization of 44968

Prime Factorization of 44986

Now multiplying the highest exponent prime factors to calculate the LCM of 44968 and 44986.

LCM(44968,44986) = 2³ × 7¹ × 11¹ × 73¹ × 83¹ × 271¹
LCM(44968,44986) = 1011465224