What is the Least Common Multiple of 61266 and 61281?

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 61266 and 61281 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61266 and 61281, than apply into the LCM equation.

GCF(61266,61281) = 3
LCM(61266,61281) = ( 61266 × 61281) / 3
LCM(61266,61281) = 3754441746 / 3
LCM(61266,61281) = 1251480582

Least Common Multiple (LCM) of 61266 and 61281 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61266 and 61281. First we will calculate the prime factors of 61266 and 61281.

Prime Factorization of 61266

Prime Factorization of 61281

Now multiplying the highest exponent prime factors to calculate the LCM of 61266 and 61281.

LCM(61266,61281) = 2¹ × 3² × 10211¹ × 11¹ × 619¹
LCM(61266,61281) = 1251480582