What is the Least Common Multiple of 44226 and 44246?

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 44226 and 44246 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44226 and 44246, than apply into the LCM equation.

GCF(44226,44246) = 2
LCM(44226,44246) = ( 44226 × 44246) / 2
LCM(44226,44246) = 1956823596 / 2
LCM(44226,44246) = 978411798

Least Common Multiple (LCM) of 44226 and 44246 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44226 and 44246. First we will calculate the prime factors of 44226 and 44246.

Prime Factorization of 44226

Prime Factorization of 44246

Now multiplying the highest exponent prime factors to calculate the LCM of 44226 and 44246.

LCM(44226,44246) = 2¹ × 3⁵ × 7¹ × 13¹ × 22123¹
LCM(44226,44246) = 978411798