What is the Least Common Multiple of 61278 and 61292?

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 61278 and 61292 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61278 and 61292, than apply into the LCM equation.

GCF(61278,61292) = 14
LCM(61278,61292) = ( 61278 × 61292) / 14
LCM(61278,61292) = 3755851176 / 14
LCM(61278,61292) = 268275084

Least Common Multiple (LCM) of 61278 and 61292 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61278 and 61292. First we will calculate the prime factors of 61278 and 61292.

Prime Factorization of 61278

Prime Factorization of 61292

Now multiplying the highest exponent prime factors to calculate the LCM of 61278 and 61292.

LCM(61278,61292) = 2² × 3¹ × 7¹ × 1459¹ × 11¹ × 199¹
LCM(61278,61292) = 268275084