What is the Least Common Multiple of 31185 and 31197?

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 31185 and 31197 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31185 and 31197, than apply into the LCM equation.

GCF(31185,31197) = 3
LCM(31185,31197) = ( 31185 × 31197) / 3
LCM(31185,31197) = 972878445 / 3
LCM(31185,31197) = 324292815

Least Common Multiple (LCM) of 31185 and 31197 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31185 and 31197. First we will calculate the prime factors of 31185 and 31197.

Prime Factorization of 31185

Prime Factorization of 31197

Now multiplying the highest exponent prime factors to calculate the LCM of 31185 and 31197.

LCM(31185,31197) = 3⁴ × 5¹ × 7¹ × 11¹ × 10399¹
LCM(31185,31197) = 324292815