What is the Least Common Multiple of 14905 and 14925?

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 14905 and 14925 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14905 and 14925, than apply into the LCM equation.

GCF(14905,14925) = 5
LCM(14905,14925) = ( 14905 × 14925) / 5
LCM(14905,14925) = 222457125 / 5
LCM(14905,14925) = 44491425

Least Common Multiple (LCM) of 14905 and 14925 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14905 and 14925. First we will calculate the prime factors of 14905 and 14925.

Prime Factorization of 14905

Prime Factorization of 14925

Now multiplying the highest exponent prime factors to calculate the LCM of 14905 and 14925.

LCM(14905,14925) = 5² × 11¹ × 271¹ × 3¹ × 199¹
LCM(14905,14925) = 44491425