What is the Least Common Multiple of 14900 and 14905?

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 14900 and 14905 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14900 and 14905, than apply into the LCM equation.

GCF(14900,14905) = 5
LCM(14900,14905) = ( 14900 × 14905) / 5
LCM(14900,14905) = 222084500 / 5
LCM(14900,14905) = 44416900

Least Common Multiple (LCM) of 14900 and 14905 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14900 and 14905. First we will calculate the prime factors of 14900 and 14905.

Prime Factorization of 14900

Prime Factorization of 14905

Now multiplying the highest exponent prime factors to calculate the LCM of 14900 and 14905.

LCM(14900,14905) = 2² × 5² × 149¹ × 11¹ × 271¹
LCM(14900,14905) = 44416900