What is the Least Common Multiple of 44292 and 44311?

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 44292 and 44311 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44292 and 44311, than apply into the LCM equation.

GCF(44292,44311) = 1
LCM(44292,44311) = ( 44292 × 44311) / 1
LCM(44292,44311) = 1962622812 / 1
LCM(44292,44311) = 1962622812

Least Common Multiple (LCM) of 44292 and 44311 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44292 and 44311. First we will calculate the prime factors of 44292 and 44311.

Prime Factorization of 44292

Prime Factorization of 44311

Now multiplying the highest exponent prime factors to calculate the LCM of 44292 and 44311.

LCM(44292,44311) = 2² × 3¹ × 3691¹ × 73¹ × 607¹
LCM(44292,44311) = 1962622812