What is the Least Common Multiple of 44440 and 44458?

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 44458 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 44458, than apply into the LCM equation.

GCF(44440,44458) = 2
LCM(44440,44458) = ( 44440 × 44458) / 2
LCM(44440,44458) = 1975713520 / 2
LCM(44440,44458) = 987856760

Least Common Multiple (LCM) of 44440 and 44458 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44440 and 44458. First we will calculate the prime factors of 44440 and 44458.

Prime Factorization of 44440

Prime Factorization of 44458

Now multiplying the highest exponent prime factors to calculate the LCM of 44440 and 44458.

LCM(44440,44458) = 2³ × 5¹ × 11¹ × 101¹ × 22229¹
LCM(44440,44458) = 987856760