What is the Least Common Multiple of 64218 and 64229?

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 64218 and 64229 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64218 and 64229, than apply into the LCM equation.

GCF(64218,64229) = 11
LCM(64218,64229) = ( 64218 × 64229) / 11
LCM(64218,64229) = 4124657922 / 11
LCM(64218,64229) = 374968902

Least Common Multiple (LCM) of 64218 and 64229 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64218 and 64229. First we will calculate the prime factors of 64218 and 64229.

Prime Factorization of 64218

Prime Factorization of 64229

Now multiplying the highest exponent prime factors to calculate the LCM of 64218 and 64229.

LCM(64218,64229) = 2¹ × 3¹ × 7¹ × 11¹ × 139¹ × 5839¹
LCM(64218,64229) = 374968902