What is the Least Common Multiple of 55888 and 55898?

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 55888 and 55898 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55888 and 55898, than apply into the LCM equation.

GCF(55888,55898) = 2
LCM(55888,55898) = ( 55888 × 55898) / 2
LCM(55888,55898) = 3124027424 / 2
LCM(55888,55898) = 1562013712

Least Common Multiple (LCM) of 55888 and 55898 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55888 and 55898. First we will calculate the prime factors of 55888 and 55898.

Prime Factorization of 55888

Prime Factorization of 55898

Now multiplying the highest exponent prime factors to calculate the LCM of 55888 and 55898.

LCM(55888,55898) = 2⁴ × 7¹ × 499¹ × 19¹ × 1471¹
LCM(55888,55898) = 1562013712