What is the Least Common Multiple of 14740 and 14746?

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 14740 and 14746 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14740 and 14746, than apply into the LCM equation.

GCF(14740,14746) = 2
LCM(14740,14746) = ( 14740 × 14746) / 2
LCM(14740,14746) = 217356040 / 2
LCM(14740,14746) = 108678020

Least Common Multiple (LCM) of 14740 and 14746 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14740 and 14746. First we will calculate the prime factors of 14740 and 14746.

Prime Factorization of 14740

Prime Factorization of 14746

Now multiplying the highest exponent prime factors to calculate the LCM of 14740 and 14746.

LCM(14740,14746) = 2² × 5¹ × 11¹ × 67¹ × 73¹ × 101¹
LCM(14740,14746) = 108678020