What is the Least Common Multiple of 2185 and 2190?

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 2185 and 2190 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2185 and 2190, than apply into the LCM equation.

GCF(2185,2190) = 5
LCM(2185,2190) = ( 2185 × 2190) / 5
LCM(2185,2190) = 4785150 / 5
LCM(2185,2190) = 957030

Least Common Multiple (LCM) of 2185 and 2190 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2185 and 2190. First we will calculate the prime factors of 2185 and 2190.

Prime Factorization of 2185

Prime Factorization of 2190

Now multiplying the highest exponent prime factors to calculate the LCM of 2185 and 2190.

LCM(2185,2190) = 5¹ × 19¹ × 23¹ × 2¹ × 3¹ × 73¹
LCM(2185,2190) = 957030