What is the Least Common Multiple of 44440 and 44451?

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 44440 and 44451 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44440 and 44451, than apply into the LCM equation.

GCF(44440,44451) = 11
LCM(44440,44451) = ( 44440 × 44451) / 11
LCM(44440,44451) = 1975402440 / 11
LCM(44440,44451) = 179582040

Least Common Multiple (LCM) of 44440 and 44451 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44440 and 44451. First we will calculate the prime factors of 44440 and 44451.

Prime Factorization of 44440

Prime Factorization of 44451

Now multiplying the highest exponent prime factors to calculate the LCM of 44440 and 44451.

LCM(44440,44451) = 2³ × 5¹ × 11¹ × 101¹ × 3² × 449¹
LCM(44440,44451) = 179582040