What is the Least Common Multiple of 61269 and 61282?

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 61282 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 61282, than apply into the LCM equation.

GCF(61269,61282) = 13
LCM(61269,61282) = ( 61269 × 61282) / 13
LCM(61269,61282) = 3754686858 / 13
LCM(61269,61282) = 288822066

Least Common Multiple (LCM) of 61269 and 61282 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61269 and 61282. First we will calculate the prime factors of 61269 and 61282.

Prime Factorization of 61269

Prime Factorization of 61282

Now multiplying the highest exponent prime factors to calculate the LCM of 61269 and 61282.

LCM(61269,61282) = 3¹ × 13¹ × 1571¹ × 2¹ × 2357¹
LCM(61269,61282) = 288822066