What is the Least Common Multiple of 6216 and 6225?

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 6216 and 6225 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6216 and 6225, than apply into the LCM equation.

GCF(6216,6225) = 3
LCM(6216,6225) = ( 6216 × 6225) / 3
LCM(6216,6225) = 38694600 / 3
LCM(6216,6225) = 12898200

Least Common Multiple (LCM) of 6216 and 6225 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6216 and 6225. First we will calculate the prime factors of 6216 and 6225.

Prime Factorization of 6216

Prime Factorization of 6225

Now multiplying the highest exponent prime factors to calculate the LCM of 6216 and 6225.

LCM(6216,6225) = 2³ × 3¹ × 7¹ × 37¹ × 5² × 83¹
LCM(6216,6225) = 12898200