What is the Least Common Multiple of 13065 and 13074?

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 13074 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 13074, than apply into the LCM equation.

GCF(13065,13074) = 3
LCM(13065,13074) = ( 13065 × 13074) / 3
LCM(13065,13074) = 170811810 / 3
LCM(13065,13074) = 56937270

Least Common Multiple (LCM) of 13065 and 13074 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13065 and 13074. First we will calculate the prime factors of 13065 and 13074.

Prime Factorization of 13065

Prime Factorization of 13074

Now multiplying the highest exponent prime factors to calculate the LCM of 13065 and 13074.

LCM(13065,13074) = 3¹ × 5¹ × 13¹ × 67¹ × 2¹ × 2179¹
LCM(13065,13074) = 56937270