What is the Least Common Multiple of 44214 and 44229?

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 44214 and 44229 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44214 and 44229, than apply into the LCM equation.

GCF(44214,44229) = 3
LCM(44214,44229) = ( 44214 × 44229) / 3
LCM(44214,44229) = 1955541006 / 3
LCM(44214,44229) = 651847002

Least Common Multiple (LCM) of 44214 and 44229 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44214 and 44229. First we will calculate the prime factors of 44214 and 44229.

Prime Factorization of 44214

Prime Factorization of 44229

Now multiplying the highest exponent prime factors to calculate the LCM of 44214 and 44229.

LCM(44214,44229) = 2¹ × 3¹ × 7369¹ × 23¹ × 641¹
LCM(44214,44229) = 651847002