What is the Least Common Multiple of 13065 and 13070?

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 13065 and 13070 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13065 and 13070, than apply into the LCM equation.

GCF(13065,13070) = 5
LCM(13065,13070) = ( 13065 × 13070) / 5
LCM(13065,13070) = 170759550 / 5
LCM(13065,13070) = 34151910

Least Common Multiple (LCM) of 13065 and 13070 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13065 and 13070. First we will calculate the prime factors of 13065 and 13070.

Prime Factorization of 13065

Prime Factorization of 13070

Now multiplying the highest exponent prime factors to calculate the LCM of 13065 and 13070.

LCM(13065,13070) = 3¹ × 5¹ × 13¹ × 67¹ × 2¹ × 1307¹
LCM(13065,13070) = 34151910