What is the Least Common Multiple of 94198 and 94213?

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 94198 and 94213 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94198 and 94213, than apply into the LCM equation.

GCF(94198,94213) = 1
LCM(94198,94213) = ( 94198 × 94213) / 1
LCM(94198,94213) = 8874676174 / 1
LCM(94198,94213) = 8874676174

Least Common Multiple (LCM) of 94198 and 94213 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94198 and 94213. First we will calculate the prime factors of 94198 and 94213.

Prime Factorization of 94198

Prime Factorization of 94213

Now multiplying the highest exponent prime factors to calculate the LCM of 94198 and 94213.

LCM(94198,94213) = 2¹ × 13¹ × 3623¹ × 7¹ × 43¹ × 313¹
LCM(94198,94213) = 8874676174