What is the Least Common Multiple of 14645 and 14660?

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 14645 and 14660 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14645 and 14660, than apply into the LCM equation.

GCF(14645,14660) = 5
LCM(14645,14660) = ( 14645 × 14660) / 5
LCM(14645,14660) = 214695700 / 5
LCM(14645,14660) = 42939140

Least Common Multiple (LCM) of 14645 and 14660 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14645 and 14660. First we will calculate the prime factors of 14645 and 14660.

Prime Factorization of 14645

Prime Factorization of 14660

Now multiplying the highest exponent prime factors to calculate the LCM of 14645 and 14660.

LCM(14645,14660) = 5¹ × 29¹ × 101¹ × 2² × 733¹
LCM(14645,14660) = 42939140