What is the Least Common Multiple of 54990 and 55000?

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 54990 and 55000 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54990 and 55000, than apply into the LCM equation.

GCF(54990,55000) = 10
LCM(54990,55000) = ( 54990 × 55000) / 10
LCM(54990,55000) = 3024450000 / 10
LCM(54990,55000) = 302445000

Least Common Multiple (LCM) of 54990 and 55000 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54990 and 55000. First we will calculate the prime factors of 54990 and 55000.

Prime Factorization of 54990

Prime Factorization of 55000

Now multiplying the highest exponent prime factors to calculate the LCM of 54990 and 55000.

LCM(54990,55000) = 2³ × 3² × 5⁴ × 13¹ × 47¹ × 11¹
LCM(54990,55000) = 302445000