What is the Least Common Multiple of 61281 and 61299?

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 61281 and 61299 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61281 and 61299, than apply into the LCM equation.

GCF(61281,61299) = 9
LCM(61281,61299) = ( 61281 × 61299) / 9
LCM(61281,61299) = 3756464019 / 9
LCM(61281,61299) = 417384891

Least Common Multiple (LCM) of 61281 and 61299 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61281 and 61299. First we will calculate the prime factors of 61281 and 61299.

Prime Factorization of 61281

Prime Factorization of 61299

Now multiplying the highest exponent prime factors to calculate the LCM of 61281 and 61299.

LCM(61281,61299) = 3² × 11¹ × 619¹ × 7² × 139¹
LCM(61281,61299) = 417384891