What is the Least Common Multiple of 2190 and 2198?

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 2198 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 2198, than apply into the LCM equation.

GCF(2190,2198) = 2
LCM(2190,2198) = ( 2190 × 2198) / 2
LCM(2190,2198) = 4813620 / 2
LCM(2190,2198) = 2406810

Least Common Multiple (LCM) of 2190 and 2198 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2190 and 2198. First we will calculate the prime factors of 2190 and 2198.

Prime Factorization of 2190

Prime Factorization of 2198

Now multiplying the highest exponent prime factors to calculate the LCM of 2190 and 2198.

LCM(2190,2198) = 2¹ × 3¹ × 5¹ × 73¹ × 7¹ × 157¹
LCM(2190,2198) = 2406810