What is the Least Common Multiple of 32214 and 32227?

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 32214 and 32227 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32214 and 32227, than apply into the LCM equation.

GCF(32214,32227) = 13
LCM(32214,32227) = ( 32214 × 32227) / 13
LCM(32214,32227) = 1038160578 / 13
LCM(32214,32227) = 79858506

Least Common Multiple (LCM) of 32214 and 32227 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32214 and 32227. First we will calculate the prime factors of 32214 and 32227.

Prime Factorization of 32214

Prime Factorization of 32227

Now multiplying the highest exponent prime factors to calculate the LCM of 32214 and 32227.

LCM(32214,32227) = 2¹ × 3¹ × 7¹ × 13¹ × 59¹ × 37¹ × 67¹
LCM(32214,32227) = 79858506