What is the Least Common Multiple of 68313 and 68331?

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 68313 and 68331 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68313 and 68331, than apply into the LCM equation.

GCF(68313,68331) = 3
LCM(68313,68331) = ( 68313 × 68331) / 3
LCM(68313,68331) = 4667895603 / 3
LCM(68313,68331) = 1555965201

Least Common Multiple (LCM) of 68313 and 68331 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68313 and 68331. First we will calculate the prime factors of 68313 and 68331.

Prime Factorization of 68313

Prime Factorization of 68331

Now multiplying the highest exponent prime factors to calculate the LCM of 68313 and 68331.

LCM(68313,68331) = 3¹ × 7¹ × 3253¹ × 22777¹
LCM(68313,68331) = 1555965201