What is the Least Common Multiple of 61269 and 61284?

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 61269 and 61284 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61269 and 61284, than apply into the LCM equation.

GCF(61269,61284) = 3
LCM(61269,61284) = ( 61269 × 61284) / 3
LCM(61269,61284) = 3754809396 / 3
LCM(61269,61284) = 1251603132

Least Common Multiple (LCM) of 61269 and 61284 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61269 and 61284. First we will calculate the prime factors of 61269 and 61284.

Prime Factorization of 61269

Prime Factorization of 61284

Now multiplying the highest exponent prime factors to calculate the LCM of 61269 and 61284.

LCM(61269,61284) = 3¹ × 13¹ × 1571¹ × 2² × 5107¹
LCM(61269,61284) = 1251603132