What is the Least Common Multiple of 36214 and 36230?

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 36214 and 36230 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36214 and 36230, than apply into the LCM equation.

GCF(36214,36230) = 2
LCM(36214,36230) = ( 36214 × 36230) / 2
LCM(36214,36230) = 1312033220 / 2
LCM(36214,36230) = 656016610

Least Common Multiple (LCM) of 36214 and 36230 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36214 and 36230. First we will calculate the prime factors of 36214 and 36230.

Prime Factorization of 36214

Prime Factorization of 36230

Now multiplying the highest exponent prime factors to calculate the LCM of 36214 and 36230.

LCM(36214,36230) = 2¹ × 19¹ × 953¹ × 5¹ × 3623¹
LCM(36214,36230) = 656016610