What is the Least Common Multiple of 13070 and 13075?

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 13070 and 13075 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13070 and 13075, than apply into the LCM equation.

GCF(13070,13075) = 5
LCM(13070,13075) = ( 13070 × 13075) / 5
LCM(13070,13075) = 170890250 / 5
LCM(13070,13075) = 34178050

Least Common Multiple (LCM) of 13070 and 13075 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13070 and 13075. First we will calculate the prime factors of 13070 and 13075.

Prime Factorization of 13070

Prime Factorization of 13075

Now multiplying the highest exponent prime factors to calculate the LCM of 13070 and 13075.

LCM(13070,13075) = 2¹ × 5² × 1307¹ × 523¹
LCM(13070,13075) = 34178050