What is the Least Common Multiple of 43212 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 43212 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 43212 and 43225, than apply into the LCM equation.

GCF(43212,43225) = 13
LCM(43212,43225) = ( 43212 × 43225) / 13
LCM(43212,43225) = 1867838700 / 13
LCM(43212,43225) = 143679900

Least Common Multiple (LCM) of 43212 and 43225 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43212 and 43225. First we will calculate the prime factors of 43212 and 43225.

Prime Factorization of 43212

Prime Factorization of 43225

Now multiplying the highest exponent prime factors to calculate the LCM of 43212 and 43225.

LCM(43212,43225) = 2² × 3¹ × 13¹ × 277¹ × 5² × 7¹ × 19¹
LCM(43212,43225) = 143679900