What is the Least Common Multiple of 68309 and 68313?

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 68309 and 68313 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68309 and 68313, than apply into the LCM equation.

GCF(68309,68313) = 1
LCM(68309,68313) = ( 68309 × 68313) / 1
LCM(68309,68313) = 4666392717 / 1
LCM(68309,68313) = 4666392717

Least Common Multiple (LCM) of 68309 and 68313 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68309 and 68313. First we will calculate the prime factors of 68309 and 68313.

Prime Factorization of 68309

Prime Factorization of 68313

Now multiplying the highest exponent prime factors to calculate the LCM of 68309 and 68313.

LCM(68309,68313) = 83¹ × 823¹ × 3¹ × 7¹ × 3253¹
LCM(68309,68313) = 4666392717