What is the Least Common Multiple of 2190 and 2210?

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 2190 and 2210 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2190 and 2210, than apply into the LCM equation.

GCF(2190,2210) = 10
LCM(2190,2210) = ( 2190 × 2210) / 10
LCM(2190,2210) = 4839900 / 10
LCM(2190,2210) = 483990

Least Common Multiple (LCM) of 2190 and 2210 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2190 and 2210. First we will calculate the prime factors of 2190 and 2210.

Prime Factorization of 2190

Prime Factorization of 2210

Now multiplying the highest exponent prime factors to calculate the LCM of 2190 and 2210.

LCM(2190,2210) = 2¹ × 3¹ × 5¹ × 73¹ × 13¹ × 17¹
LCM(2190,2210) = 483990