What is the Least Common Multiple of 43217 and 43225?

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 43217 and 43225 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43217 and 43225, than apply into the LCM equation.

GCF(43217,43225) = 1
LCM(43217,43225) = ( 43217 × 43225) / 1
LCM(43217,43225) = 1868054825 / 1
LCM(43217,43225) = 1868054825

Least Common Multiple (LCM) of 43217 and 43225 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43217 and 43225. First we will calculate the prime factors of 43217 and 43225.

Prime Factorization of 43217

Prime Factorization of 43225

Now multiplying the highest exponent prime factors to calculate the LCM of 43217 and 43225.

LCM(43217,43225) = 23¹ × 1879¹ × 5² × 7¹ × 13¹ × 19¹
LCM(43217,43225) = 1868054825