What is the Least Common Multiple of 55680 and 55686?

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 55680 and 55686 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55680 and 55686, than apply into the LCM equation.

GCF(55680,55686) = 6
LCM(55680,55686) = ( 55680 × 55686) / 6
LCM(55680,55686) = 3100596480 / 6
LCM(55680,55686) = 516766080

Least Common Multiple (LCM) of 55680 and 55686 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55680 and 55686. First we will calculate the prime factors of 55680 and 55686.

Prime Factorization of 55680

Prime Factorization of 55686

Now multiplying the highest exponent prime factors to calculate the LCM of 55680 and 55686.

LCM(55680,55686) = 2⁷ × 3¹ × 5¹ × 29¹ × 9281¹
LCM(55680,55686) = 516766080