What is the Least Common Multiple of 44469 and 44488?

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 44469 and 44488 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44469 and 44488, than apply into the LCM equation.

GCF(44469,44488) = 1
LCM(44469,44488) = ( 44469 × 44488) / 1
LCM(44469,44488) = 1978336872 / 1
LCM(44469,44488) = 1978336872

Least Common Multiple (LCM) of 44469 and 44488 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44469 and 44488. First we will calculate the prime factors of 44469 and 44488.

Prime Factorization of 44469

Prime Factorization of 44488

Now multiplying the highest exponent prime factors to calculate the LCM of 44469 and 44488.

LCM(44469,44488) = 3⁶ × 61¹ × 2³ × 67¹ × 83¹
LCM(44469,44488) = 1978336872