What is the Least Common Multiple of 43204 and 43210?

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 43204 and 43210 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43204 and 43210, than apply into the LCM equation.

GCF(43204,43210) = 2
LCM(43204,43210) = ( 43204 × 43210) / 2
LCM(43204,43210) = 1866844840 / 2
LCM(43204,43210) = 933422420

Least Common Multiple (LCM) of 43204 and 43210 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43204 and 43210. First we will calculate the prime factors of 43204 and 43210.

Prime Factorization of 43204

Prime Factorization of 43210

Now multiplying the highest exponent prime factors to calculate the LCM of 43204 and 43210.

LCM(43204,43210) = 2² × 7¹ × 1543¹ × 5¹ × 29¹ × 149¹
LCM(43204,43210) = 933422420