What is the Least Common Multiple of 55968 and 55980?

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 55980 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 55980, than apply into the LCM equation.

GCF(55968,55980) = 12
LCM(55968,55980) = ( 55968 × 55980) / 12
LCM(55968,55980) = 3133088640 / 12
LCM(55968,55980) = 261090720

Least Common Multiple (LCM) of 55968 and 55980 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55968 and 55980. First we will calculate the prime factors of 55968 and 55980.

Prime Factorization of 55968

Prime Factorization of 55980

Now multiplying the highest exponent prime factors to calculate the LCM of 55968 and 55980.

LCM(55968,55980) = 2⁵ × 3² × 11¹ × 53¹ × 5¹ × 311¹
LCM(55968,55980) = 261090720