What is the Least Common Multiple of 13250 and 13270?

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 13250 and 13270 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13250 and 13270, than apply into the LCM equation.

GCF(13250,13270) = 10
LCM(13250,13270) = ( 13250 × 13270) / 10
LCM(13250,13270) = 175827500 / 10
LCM(13250,13270) = 17582750

Least Common Multiple (LCM) of 13250 and 13270 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13250 and 13270. First we will calculate the prime factors of 13250 and 13270.

Prime Factorization of 13250

Prime Factorization of 13270

Now multiplying the highest exponent prime factors to calculate the LCM of 13250 and 13270.

LCM(13250,13270) = 2¹ × 5³ × 53¹ × 1327¹
LCM(13250,13270) = 17582750