What is the Least Common Multiple of 13230 and 13244?

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 13230 and 13244 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13230 and 13244, than apply into the LCM equation.

GCF(13230,13244) = 14
LCM(13230,13244) = ( 13230 × 13244) / 14
LCM(13230,13244) = 175218120 / 14
LCM(13230,13244) = 12515580

Least Common Multiple (LCM) of 13230 and 13244 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13230 and 13244. First we will calculate the prime factors of 13230 and 13244.

Prime Factorization of 13230

Prime Factorization of 13244

Now multiplying the highest exponent prime factors to calculate the LCM of 13230 and 13244.

LCM(13230,13244) = 2² × 3³ × 5¹ × 7² × 11¹ × 43¹
LCM(13230,13244) = 12515580