What is the Least Common Multiple of 55776 and 55782?

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 55776 and 55782 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55776 and 55782, than apply into the LCM equation.

GCF(55776,55782) = 6
LCM(55776,55782) = ( 55776 × 55782) / 6
LCM(55776,55782) = 3111296832 / 6
LCM(55776,55782) = 518549472

Least Common Multiple (LCM) of 55776 and 55782 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55776 and 55782. First we will calculate the prime factors of 55776 and 55782.

Prime Factorization of 55776

Prime Factorization of 55782

Now multiplying the highest exponent prime factors to calculate the LCM of 55776 and 55782.

LCM(55776,55782) = 2⁵ × 3³ × 7¹ × 83¹ × 1033¹
LCM(55776,55782) = 518549472