What is the Least Common Multiple of 36200 and 36214?

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 36200 and 36214 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36200 and 36214, than apply into the LCM equation.

GCF(36200,36214) = 2
LCM(36200,36214) = ( 36200 × 36214) / 2
LCM(36200,36214) = 1310946800 / 2
LCM(36200,36214) = 655473400

Least Common Multiple (LCM) of 36200 and 36214 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36200 and 36214. First we will calculate the prime factors of 36200 and 36214.

Prime Factorization of 36200

Prime Factorization of 36214

Now multiplying the highest exponent prime factors to calculate the LCM of 36200 and 36214.

LCM(36200,36214) = 2³ × 5² × 181¹ × 19¹ × 953¹
LCM(36200,36214) = 655473400