What is the Least Common Multiple of 1210 and 1223?

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 1210 and 1223 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1210 and 1223, than apply into the LCM equation.

GCF(1210,1223) = 1
LCM(1210,1223) = ( 1210 × 1223) / 1
LCM(1210,1223) = 1479830 / 1
LCM(1210,1223) = 1479830

Least Common Multiple (LCM) of 1210 and 1223 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1210 and 1223. First we will calculate the prime factors of 1210 and 1223.

Prime Factorization of 1210

Prime Factorization of 1223

Now multiplying the highest exponent prime factors to calculate the LCM of 1210 and 1223.

LCM(1210,1223) = 2¹ × 5¹ × 11² × 1223¹
LCM(1210,1223) = 1479830