What is the Least Common Multiple of 13180 and 13190?

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 13180 and 13190 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13180 and 13190, than apply into the LCM equation.

GCF(13180,13190) = 10
LCM(13180,13190) = ( 13180 × 13190) / 10
LCM(13180,13190) = 173844200 / 10
LCM(13180,13190) = 17384420

Least Common Multiple (LCM) of 13180 and 13190 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13180 and 13190. First we will calculate the prime factors of 13180 and 13190.

Prime Factorization of 13180

Prime Factorization of 13190

Now multiplying the highest exponent prime factors to calculate the LCM of 13180 and 13190.

LCM(13180,13190) = 2² × 5¹ × 659¹ × 1319¹
LCM(13180,13190) = 17384420