What is the Least Common Multiple of 43198 and 43217?

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 43217 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 43217, than apply into the LCM equation.

GCF(43198,43217) = 1
LCM(43198,43217) = ( 43198 × 43217) / 1
LCM(43198,43217) = 1866887966 / 1
LCM(43198,43217) = 1866887966

Least Common Multiple (LCM) of 43198 and 43217 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43198 and 43217. First we will calculate the prime factors of 43198 and 43217.

Prime Factorization of 43198

Prime Factorization of 43217

Now multiplying the highest exponent prime factors to calculate the LCM of 43198 and 43217.

LCM(43198,43217) = 2¹ × 21599¹ × 23¹ × 1879¹
LCM(43198,43217) = 1866887966