What is the Least Common Multiple of 14200 and 14205?

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 14200 and 14205 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14200 and 14205, than apply into the LCM equation.

GCF(14200,14205) = 5
LCM(14200,14205) = ( 14200 × 14205) / 5
LCM(14200,14205) = 201711000 / 5
LCM(14200,14205) = 40342200

Least Common Multiple (LCM) of 14200 and 14205 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14200 and 14205. First we will calculate the prime factors of 14200 and 14205.

Prime Factorization of 14200

Prime Factorization of 14205

Now multiplying the highest exponent prime factors to calculate the LCM of 14200 and 14205.

LCM(14200,14205) = 2³ × 5² × 71¹ × 3¹ × 947¹
LCM(14200,14205) = 40342200