What is the Least Common Multiple of 13198 and 13202?

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 13198 and 13202 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13198 and 13202, than apply into the LCM equation.

GCF(13198,13202) = 2
LCM(13198,13202) = ( 13198 × 13202) / 2
LCM(13198,13202) = 174239996 / 2
LCM(13198,13202) = 87119998

Least Common Multiple (LCM) of 13198 and 13202 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13198 and 13202. First we will calculate the prime factors of 13198 and 13202.

Prime Factorization of 13198

Prime Factorization of 13202

Now multiplying the highest exponent prime factors to calculate the LCM of 13198 and 13202.

LCM(13198,13202) = 2¹ × 6599¹ × 7¹ × 23¹ × 41¹
LCM(13198,13202) = 87119998