What is the Least Common Multiple of 44516 and 44533?

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 44516 and 44533 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44516 and 44533, than apply into the LCM equation.

GCF(44516,44533) = 1
LCM(44516,44533) = ( 44516 × 44533) / 1
LCM(44516,44533) = 1982431028 / 1
LCM(44516,44533) = 1982431028

Least Common Multiple (LCM) of 44516 and 44533 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44516 and 44533. First we will calculate the prime factors of 44516 and 44533.

Prime Factorization of 44516

Prime Factorization of 44533

Now multiplying the highest exponent prime factors to calculate the LCM of 44516 and 44533.

LCM(44516,44533) = 2² × 31¹ × 359¹ × 44533¹
LCM(44516,44533) = 1982431028