What is the Least Common Multiple of 66200 and 66214?

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 66200 and 66214 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66200 and 66214, than apply into the LCM equation.

GCF(66200,66214) = 2
LCM(66200,66214) = ( 66200 × 66214) / 2
LCM(66200,66214) = 4383366800 / 2
LCM(66200,66214) = 2191683400

Least Common Multiple (LCM) of 66200 and 66214 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66200 and 66214. First we will calculate the prime factors of 66200 and 66214.

Prime Factorization of 66200

Prime Factorization of 66214

Now multiplying the highest exponent prime factors to calculate the LCM of 66200 and 66214.

LCM(66200,66214) = 2³ × 5² × 331¹ × 33107¹
LCM(66200,66214) = 2191683400