What is the Least Common Multiple of 31217 and 31236?

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 31217 and 31236 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31217 and 31236, than apply into the LCM equation.

GCF(31217,31236) = 19
LCM(31217,31236) = ( 31217 × 31236) / 19
LCM(31217,31236) = 975094212 / 19
LCM(31217,31236) = 51320748

Least Common Multiple (LCM) of 31217 and 31236 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31217 and 31236. First we will calculate the prime factors of 31217 and 31236.

Prime Factorization of 31217

Prime Factorization of 31236

Now multiplying the highest exponent prime factors to calculate the LCM of 31217 and 31236.

LCM(31217,31236) = 19¹ × 31¹ × 53¹ × 2² × 3¹ × 137¹
LCM(31217,31236) = 51320748