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What is the Least Common Multiple of 31306 and 31316?

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 (LCM) of 31306 and 31316 is 490189348.

LCM(31306,31316) = 490189348

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Least Common Multiple of 31306 and 31316 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31306 and 31316, than apply into the LCM equation.

GCF(31306,31316) = 2
LCM(31306,31316) = ( 31306 × 31316) / 2
LCM(31306,31316) = 980378696 / 2
LCM(31306,31316) = 490189348

Least Common Multiple (LCM) of 31306 and 31316 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31306 and 31316. First we will calculate the prime factors of 31306 and 31316.

Prime Factorization of 31306

Prime factors of 31306 are 2, 11, 1423. Prime factorization of 31306 in exponential form is:

31306 = 21 × 111 × 14231

Prime Factorization of 31316

Prime factors of 31316 are 2, 7829. Prime factorization of 31316 in exponential form is:

31316 = 22 × 78291

Now multiplying the highest exponent prime factors to calculate the LCM of 31306 and 31316.

LCM(31306,31316) = 22 × 111 × 14231 × 78291
LCM(31306,31316) = 490189348