What is the Least Common Multiple of 43198 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 43198 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 43198 and 43210, than apply into the LCM equation.

GCF(43198,43210) = 2
LCM(43198,43210) = ( 43198 × 43210) / 2
LCM(43198,43210) = 1866585580 / 2
LCM(43198,43210) = 933292790

Least Common Multiple (LCM) of 43198 and 43210 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43198 and 43210. First we will calculate the prime factors of 43198 and 43210.

Prime Factorization of 43198

Prime Factorization of 43210

Now multiplying the highest exponent prime factors to calculate the LCM of 43198 and 43210.

LCM(43198,43210) = 2¹ × 21599¹ × 5¹ × 29¹ × 149¹
LCM(43198,43210) = 933292790