What is the Least Common Multiple of 55978 and 55988?

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 55978 and 55988 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55978 and 55988, than apply into the LCM equation.

GCF(55978,55988) = 2
LCM(55978,55988) = ( 55978 × 55988) / 2
LCM(55978,55988) = 3134096264 / 2
LCM(55978,55988) = 1567048132

Least Common Multiple (LCM) of 55978 and 55988 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55978 and 55988. First we will calculate the prime factors of 55978 and 55988.

Prime Factorization of 55978

Prime Factorization of 55988

Now multiplying the highest exponent prime factors to calculate the LCM of 55978 and 55988.

LCM(55978,55988) = 2² × 13¹ × 2153¹ × 13997¹
LCM(55978,55988) = 1567048132