What is the Least Common Multiple of 55968 and 55982?

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 55968 and 55982 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55968 and 55982, than apply into the LCM equation.

GCF(55968,55982) = 2
LCM(55968,55982) = ( 55968 × 55982) / 2
LCM(55968,55982) = 3133200576 / 2
LCM(55968,55982) = 1566600288

Least Common Multiple (LCM) of 55968 and 55982 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55968 and 55982. First we will calculate the prime factors of 55968 and 55982.

Prime Factorization of 55968

Prime Factorization of 55982

Now multiplying the highest exponent prime factors to calculate the LCM of 55968 and 55982.

LCM(55968,55982) = 2⁵ × 3¹ × 11¹ × 53¹ × 23¹ × 1217¹
LCM(55968,55982) = 1566600288