What is the Least Common Multiple of 55590 and 55600?

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 55590 and 55600 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55590 and 55600, than apply into the LCM equation.

GCF(55590,55600) = 10
LCM(55590,55600) = ( 55590 × 55600) / 10
LCM(55590,55600) = 3090804000 / 10
LCM(55590,55600) = 309080400

Least Common Multiple (LCM) of 55590 and 55600 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55590 and 55600. First we will calculate the prime factors of 55590 and 55600.

Prime Factorization of 55590

Prime Factorization of 55600

Now multiplying the highest exponent prime factors to calculate the LCM of 55590 and 55600.

LCM(55590,55600) = 2⁴ × 3¹ × 5² × 17¹ × 109¹ × 139¹
LCM(55590,55600) = 309080400