What is the Least Common Multiple of 55500 and 55509?

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 55500 and 55509 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55500 and 55509, than apply into the LCM equation.

GCF(55500,55509) = 3
LCM(55500,55509) = ( 55500 × 55509) / 3
LCM(55500,55509) = 3080749500 / 3
LCM(55500,55509) = 1026916500

Least Common Multiple (LCM) of 55500 and 55509 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55500 and 55509. First we will calculate the prime factors of 55500 and 55509.

Prime Factorization of 55500

Prime Factorization of 55509

Now multiplying the highest exponent prime factors to calculate the LCM of 55500 and 55509.

LCM(55500,55509) = 2² × 3¹ × 5³ × 37¹ × 18503¹
LCM(55500,55509) = 1026916500