What is the Least Common Multiple of 61296 and 61306?

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 61296 and 61306 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61296 and 61306, than apply into the LCM equation.

GCF(61296,61306) = 2
LCM(61296,61306) = ( 61296 × 61306) / 2
LCM(61296,61306) = 3757812576 / 2
LCM(61296,61306) = 1878906288

Least Common Multiple (LCM) of 61296 and 61306 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61296 and 61306. First we will calculate the prime factors of 61296 and 61306.

Prime Factorization of 61296

Prime Factorization of 61306

Now multiplying the highest exponent prime factors to calculate the LCM of 61296 and 61306.

LCM(61296,61306) = 2⁴ × 3¹ × 1277¹ × 7¹ × 29¹ × 151¹
LCM(61296,61306) = 1878906288