What is the Least Common Multiple of 4214 and 4225?

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 4214 and 4225 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4214 and 4225, than apply into the LCM equation.

GCF(4214,4225) = 1
LCM(4214,4225) = ( 4214 × 4225) / 1
LCM(4214,4225) = 17804150 / 1
LCM(4214,4225) = 17804150

Least Common Multiple (LCM) of 4214 and 4225 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4214 and 4225. First we will calculate the prime factors of 4214 and 4225.

Prime Factorization of 4214

Prime Factorization of 4225

Now multiplying the highest exponent prime factors to calculate the LCM of 4214 and 4225.

LCM(4214,4225) = 2¹ × 7² × 43¹ × 5² × 13²
LCM(4214,4225) = 17804150