What is the Least Common Multiple of 13065 and 13085?

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 13085 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 13085, than apply into the LCM equation.

GCF(13065,13085) = 5
LCM(13065,13085) = ( 13065 × 13085) / 5
LCM(13065,13085) = 170955525 / 5
LCM(13065,13085) = 34191105

Least Common Multiple (LCM) of 13065 and 13085 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13065 and 13085. First we will calculate the prime factors of 13065 and 13085.

Prime Factorization of 13065

Prime Factorization of 13085

Now multiplying the highest exponent prime factors to calculate the LCM of 13065 and 13085.

LCM(13065,13085) = 3¹ × 5¹ × 13¹ × 67¹ × 2617¹
LCM(13065,13085) = 34191105