What is the Least Common Multiple of 36210 and 36228?

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 36210 and 36228 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36210 and 36228, than apply into the LCM equation.

GCF(36210,36228) = 6
LCM(36210,36228) = ( 36210 × 36228) / 6
LCM(36210,36228) = 1311815880 / 6
LCM(36210,36228) = 218635980

Least Common Multiple (LCM) of 36210 and 36228 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36210 and 36228. First we will calculate the prime factors of 36210 and 36228.

Prime Factorization of 36210

Prime Factorization of 36228

Now multiplying the highest exponent prime factors to calculate the LCM of 36210 and 36228.

LCM(36210,36228) = 2² × 3¹ × 5¹ × 17¹ × 71¹ × 3019¹
LCM(36210,36228) = 218635980