What is the Least Common Multiple of 64214 and 64221?

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 64214 and 64221 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64214 and 64221, than apply into the LCM equation.

GCF(64214,64221) = 1
LCM(64214,64221) = ( 64214 × 64221) / 1
LCM(64214,64221) = 4123887294 / 1
LCM(64214,64221) = 4123887294

Least Common Multiple (LCM) of 64214 and 64221 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64214 and 64221. First we will calculate the prime factors of 64214 and 64221.

Prime Factorization of 64214

Prime Factorization of 64221

Now multiplying the highest exponent prime factors to calculate the LCM of 64214 and 64221.

LCM(64214,64221) = 2¹ × 97¹ × 331¹ × 3¹ × 21407¹
LCM(64214,64221) = 4123887294