What is the Least Common Multiple of 67313 and 67331?

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 67313 and 67331 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67313 and 67331, than apply into the LCM equation.

GCF(67313,67331) = 1
LCM(67313,67331) = ( 67313 × 67331) / 1
LCM(67313,67331) = 4532251603 / 1
LCM(67313,67331) = 4532251603

Least Common Multiple (LCM) of 67313 and 67331 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67313 and 67331. First we will calculate the prime factors of 67313 and 67331.

Prime Factorization of 67313

Prime Factorization of 67331

Now multiplying the highest exponent prime factors to calculate the LCM of 67313 and 67331.

LCM(67313,67331) = 83¹ × 811¹ × 11¹ × 6121¹
LCM(67313,67331) = 4532251603