What is the Least Common Multiple of 14205 and 14225?

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 14205 and 14225 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14205 and 14225, than apply into the LCM equation.

GCF(14205,14225) = 5
LCM(14205,14225) = ( 14205 × 14225) / 5
LCM(14205,14225) = 202066125 / 5
LCM(14205,14225) = 40413225

Least Common Multiple (LCM) of 14205 and 14225 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14205 and 14225. First we will calculate the prime factors of 14205 and 14225.

Prime Factorization of 14205

Prime Factorization of 14225

Now multiplying the highest exponent prime factors to calculate the LCM of 14205 and 14225.

LCM(14205,14225) = 3¹ × 5² × 947¹ × 569¹
LCM(14205,14225) = 40413225