What is the Least Common Multiple of 14046 and 14061?

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 14046 and 14061 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14046 and 14061, than apply into the LCM equation.

GCF(14046,14061) = 3
LCM(14046,14061) = ( 14046 × 14061) / 3
LCM(14046,14061) = 197500806 / 3
LCM(14046,14061) = 65833602

Least Common Multiple (LCM) of 14046 and 14061 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14046 and 14061. First we will calculate the prime factors of 14046 and 14061.

Prime Factorization of 14046

Prime Factorization of 14061

Now multiplying the highest exponent prime factors to calculate the LCM of 14046 and 14061.

LCM(14046,14061) = 2¹ × 3¹ × 2341¹ × 43¹ × 109¹
LCM(14046,14061) = 65833602