What is the Least Common Multiple of 44368 and 44376?

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 44368 and 44376 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44368 and 44376, than apply into the LCM equation.

GCF(44368,44376) = 8
LCM(44368,44376) = ( 44368 × 44376) / 8
LCM(44368,44376) = 1968874368 / 8
LCM(44368,44376) = 246109296

Least Common Multiple (LCM) of 44368 and 44376 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44368 and 44376. First we will calculate the prime factors of 44368 and 44376.

Prime Factorization of 44368

Prime Factorization of 44376

Now multiplying the highest exponent prime factors to calculate the LCM of 44368 and 44376.

LCM(44368,44376) = 2⁴ × 47¹ × 59¹ × 3¹ × 43²
LCM(44368,44376) = 246109296