What is the Least Common Multiple of 13202 and 13207?

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 13202 and 13207 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13202 and 13207, than apply into the LCM equation.

GCF(13202,13207) = 1
LCM(13202,13207) = ( 13202 × 13207) / 1
LCM(13202,13207) = 174358814 / 1
LCM(13202,13207) = 174358814

Least Common Multiple (LCM) of 13202 and 13207 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13202 and 13207. First we will calculate the prime factors of 13202 and 13207.

Prime Factorization of 13202

Prime Factorization of 13207

Now multiplying the highest exponent prime factors to calculate the LCM of 13202 and 13207.

LCM(13202,13207) = 2¹ × 7¹ × 23¹ × 41¹ × 47¹ × 281¹
LCM(13202,13207) = 174358814