What is the Least Common Multiple of 55680 and 55695?

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 55695 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 55695, than apply into the LCM equation.

GCF(55680,55695) = 15
LCM(55680,55695) = ( 55680 × 55695) / 15
LCM(55680,55695) = 3101097600 / 15
LCM(55680,55695) = 206739840

Least Common Multiple (LCM) of 55680 and 55695 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55680 and 55695. First we will calculate the prime factors of 55680 and 55695.

Prime Factorization of 55680

Prime Factorization of 55695

Now multiplying the highest exponent prime factors to calculate the LCM of 55680 and 55695.

LCM(55680,55695) = 2⁷ × 3¹ × 5¹ × 29¹ × 47¹ × 79¹
LCM(55680,55695) = 206739840