What is the Least Common Multiple of 2190 and 2206?

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 2206 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 2206, than apply into the LCM equation.

GCF(2190,2206) = 2
LCM(2190,2206) = ( 2190 × 2206) / 2
LCM(2190,2206) = 4831140 / 2
LCM(2190,2206) = 2415570

Least Common Multiple (LCM) of 2190 and 2206 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2190 and 2206. First we will calculate the prime factors of 2190 and 2206.

Prime Factorization of 2190

Prime Factorization of 2206

Now multiplying the highest exponent prime factors to calculate the LCM of 2190 and 2206.

LCM(2190,2206) = 2¹ × 3¹ × 5¹ × 73¹ × 1103¹
LCM(2190,2206) = 2415570