What is the Least Common Multiple of 64200 and 64214?

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 64200 and 64214 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64200 and 64214, than apply into the LCM equation.

GCF(64200,64214) = 2
LCM(64200,64214) = ( 64200 × 64214) / 2
LCM(64200,64214) = 4122538800 / 2
LCM(64200,64214) = 2061269400

Least Common Multiple (LCM) of 64200 and 64214 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64200 and 64214. First we will calculate the prime factors of 64200 and 64214.

Prime Factorization of 64200

Prime Factorization of 64214

Now multiplying the highest exponent prime factors to calculate the LCM of 64200 and 64214.

LCM(64200,64214) = 2³ × 3¹ × 5² × 107¹ × 97¹ × 331¹
LCM(64200,64214) = 2061269400