What is the Least Common Multiple of 61200 and 61215?

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 61200 and 61215 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61200 and 61215, than apply into the LCM equation.

GCF(61200,61215) = 15
LCM(61200,61215) = ( 61200 × 61215) / 15
LCM(61200,61215) = 3746358000 / 15
LCM(61200,61215) = 249757200

Least Common Multiple (LCM) of 61200 and 61215 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61200 and 61215. First we will calculate the prime factors of 61200 and 61215.

Prime Factorization of 61200

Prime Factorization of 61215

Now multiplying the highest exponent prime factors to calculate the LCM of 61200 and 61215.

LCM(61200,61215) = 2⁴ × 3² × 5² × 17¹ × 7¹ × 11¹ × 53¹
LCM(61200,61215) = 249757200