What is the Least Common Multiple of 55900 and 55919?

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 55900 and 55919 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55900 and 55919, than apply into the LCM equation.

GCF(55900,55919) = 1
LCM(55900,55919) = ( 55900 × 55919) / 1
LCM(55900,55919) = 3125872100 / 1
LCM(55900,55919) = 3125872100

Least Common Multiple (LCM) of 55900 and 55919 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55900 and 55919. First we will calculate the prime factors of 55900 and 55919.

Prime Factorization of 55900

Prime Factorization of 55919

Now multiplying the highest exponent prime factors to calculate the LCM of 55900 and 55919.

LCM(55900,55919) = 2² × 5² × 13¹ × 43¹ × 199¹ × 281¹
LCM(55900,55919) = 3125872100