What is the Least Common Multiple of 44772 and 44786?

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 44772 and 44786 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44772 and 44786, than apply into the LCM equation.

GCF(44772,44786) = 14
LCM(44772,44786) = ( 44772 × 44786) / 14
LCM(44772,44786) = 2005158792 / 14
LCM(44772,44786) = 143225628

Least Common Multiple (LCM) of 44772 and 44786 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44772 and 44786. First we will calculate the prime factors of 44772 and 44786.

Prime Factorization of 44772

Prime Factorization of 44786

Now multiplying the highest exponent prime factors to calculate the LCM of 44772 and 44786.

LCM(44772,44786) = 2² × 3¹ × 7² × 13¹ × 41¹ × 457¹
LCM(44772,44786) = 143225628