What is the Least Common Multiple of 55968 and 55978?

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 55978 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 55978, than apply into the LCM equation.

GCF(55968,55978) = 2
LCM(55968,55978) = ( 55968 × 55978) / 2
LCM(55968,55978) = 3132976704 / 2
LCM(55968,55978) = 1566488352

Least Common Multiple (LCM) of 55968 and 55978 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55968 and 55978. First we will calculate the prime factors of 55968 and 55978.

Prime Factorization of 55968

Prime Factorization of 55978

Now multiplying the highest exponent prime factors to calculate the LCM of 55968 and 55978.

LCM(55968,55978) = 2⁵ × 3¹ × 11¹ × 53¹ × 13¹ × 2153¹
LCM(55968,55978) = 1566488352