What is the Least Common Multiple of 2210 and 2223?

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 2210 and 2223 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2210 and 2223, than apply into the LCM equation.

GCF(2210,2223) = 13
LCM(2210,2223) = ( 2210 × 2223) / 13
LCM(2210,2223) = 4912830 / 13
LCM(2210,2223) = 377910

Least Common Multiple (LCM) of 2210 and 2223 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2210 and 2223. First we will calculate the prime factors of 2210 and 2223.

Prime Factorization of 2210

Prime Factorization of 2223

Now multiplying the highest exponent prime factors to calculate the LCM of 2210 and 2223.

LCM(2210,2223) = 2¹ × 5¹ × 13¹ × 17¹ × 3² × 19¹
LCM(2210,2223) = 377910