What is the Least Common Multiple of 13946 and 13965?

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 13946 and 13965 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13946 and 13965, than apply into the LCM equation.

GCF(13946,13965) = 19
LCM(13946,13965) = ( 13946 × 13965) / 19
LCM(13946,13965) = 194755890 / 19
LCM(13946,13965) = 10250310

Least Common Multiple (LCM) of 13946 and 13965 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13946 and 13965. First we will calculate the prime factors of 13946 and 13965.

Prime Factorization of 13946

Prime Factorization of 13965

Now multiplying the highest exponent prime factors to calculate the LCM of 13946 and 13965.

LCM(13946,13965) = 2¹ × 19¹ × 367¹ × 3¹ × 5¹ × 7²
LCM(13946,13965) = 10250310