What is the Least Common Multiple of 44516 and 44522?

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 44522 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 44522, than apply into the LCM equation.

GCF(44516,44522) = 2
LCM(44516,44522) = ( 44516 × 44522) / 2
LCM(44516,44522) = 1981941352 / 2
LCM(44516,44522) = 990970676

Least Common Multiple (LCM) of 44516 and 44522 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44516 and 44522. First we will calculate the prime factors of 44516 and 44522.

Prime Factorization of 44516

Prime Factorization of 44522

Now multiplying the highest exponent prime factors to calculate the LCM of 44516 and 44522.

LCM(44516,44522) = 2² × 31¹ × 359¹ × 113¹ × 197¹
LCM(44516,44522) = 990970676