What is the Least Common Multiple of 94189 and 94198?

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 94189 and 94198 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94189 and 94198, than apply into the LCM equation.

GCF(94189,94198) = 1
LCM(94189,94198) = ( 94189 × 94198) / 1
LCM(94189,94198) = 8872415422 / 1
LCM(94189,94198) = 8872415422

Least Common Multiple (LCM) of 94189 and 94198 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94189 and 94198. First we will calculate the prime factors of 94189 and 94198.

Prime Factorization of 94189

Prime Factorization of 94198

Now multiplying the highest exponent prime factors to calculate the LCM of 94189 and 94198.

LCM(94189,94198) = 131¹ × 719¹ × 2¹ × 13¹ × 3623¹
LCM(94189,94198) = 8872415422