What is the Least Common Multiple of 44226 and 44230?

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 44230 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 44230, than apply into the LCM equation.

GCF(44226,44230) = 2
LCM(44226,44230) = ( 44226 × 44230) / 2
LCM(44226,44230) = 1956115980 / 2
LCM(44226,44230) = 978057990

Least Common Multiple (LCM) of 44226 and 44230 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44226 and 44230. First we will calculate the prime factors of 44226 and 44230.

Prime Factorization of 44226

Prime Factorization of 44230

Now multiplying the highest exponent prime factors to calculate the LCM of 44226 and 44230.

LCM(44226,44230) = 2¹ × 3⁵ × 7¹ × 13¹ × 5¹ × 4423¹
LCM(44226,44230) = 978057990