What is the Least Common Multiple of 61782 and 61796?

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 61782 and 61796 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61782 and 61796, than apply into the LCM equation.

GCF(61782,61796) = 14
LCM(61782,61796) = ( 61782 × 61796) / 14
LCM(61782,61796) = 3817880472 / 14
LCM(61782,61796) = 272705748

Least Common Multiple (LCM) of 61782 and 61796 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61782 and 61796. First we will calculate the prime factors of 61782 and 61796.

Prime Factorization of 61782

Prime Factorization of 61796

Now multiplying the highest exponent prime factors to calculate the LCM of 61782 and 61796.

LCM(61782,61796) = 2² × 3¹ × 7¹ × 1471¹ × 2207¹
LCM(61782,61796) = 272705748