What is the Least Common Multiple of 44216 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 44216 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 44216 and 44229, than apply into the LCM equation.

GCF(44216,44229) = 1
LCM(44216,44229) = ( 44216 × 44229) / 1
LCM(44216,44229) = 1955629464 / 1
LCM(44216,44229) = 1955629464

Least Common Multiple (LCM) of 44216 and 44229 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44216 and 44229. First we will calculate the prime factors of 44216 and 44229.

Prime Factorization of 44216

Prime Factorization of 44229

Now multiplying the highest exponent prime factors to calculate the LCM of 44216 and 44229.

LCM(44216,44229) = 2³ × 5527¹ × 3¹ × 23¹ × 641¹
LCM(44216,44229) = 1955629464