What is the Least Common Multiple of 31194 and 31201?

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 31194 and 31201 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31194 and 31201, than apply into the LCM equation.

GCF(31194,31201) = 1
LCM(31194,31201) = ( 31194 × 31201) / 1
LCM(31194,31201) = 973283994 / 1
LCM(31194,31201) = 973283994

Least Common Multiple (LCM) of 31194 and 31201 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31194 and 31201. First we will calculate the prime factors of 31194 and 31201.

Prime Factorization of 31194

Prime Factorization of 31201

Now multiplying the highest exponent prime factors to calculate the LCM of 31194 and 31201.

LCM(31194,31201) = 2¹ × 3² × 1733¹ × 41¹ × 761¹
LCM(31194,31201) = 973283994