What is the Least Common Multiple of 6180 and 6200?

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 6180 and 6200 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6180 and 6200, than apply into the LCM equation.

GCF(6180,6200) = 20
LCM(6180,6200) = ( 6180 × 6200) / 20
LCM(6180,6200) = 38316000 / 20
LCM(6180,6200) = 1915800

Least Common Multiple (LCM) of 6180 and 6200 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6180 and 6200. First we will calculate the prime factors of 6180 and 6200.

Prime Factorization of 6180

Prime Factorization of 6200

Now multiplying the highest exponent prime factors to calculate the LCM of 6180 and 6200.

LCM(6180,6200) = 2³ × 3¹ × 5² × 103¹ × 31¹
LCM(6180,6200) = 1915800