What is the Least Common Multiple of 55890 and 55900?

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 55890 and 55900 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55890 and 55900, than apply into the LCM equation.

GCF(55890,55900) = 10
LCM(55890,55900) = ( 55890 × 55900) / 10
LCM(55890,55900) = 3124251000 / 10
LCM(55890,55900) = 312425100

Least Common Multiple (LCM) of 55890 and 55900 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55890 and 55900. First we will calculate the prime factors of 55890 and 55900.

Prime Factorization of 55890

Prime Factorization of 55900

Now multiplying the highest exponent prime factors to calculate the LCM of 55890 and 55900.

LCM(55890,55900) = 2² × 3⁵ × 5² × 23¹ × 13¹ × 43¹
LCM(55890,55900) = 312425100