What is the Least Common Multiple of 68357 and 68377?

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 68357 and 68377 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68357 and 68377, than apply into the LCM equation.

GCF(68357,68377) = 1
LCM(68357,68377) = ( 68357 × 68377) / 1
LCM(68357,68377) = 4674046589 / 1
LCM(68357,68377) = 4674046589

Least Common Multiple (LCM) of 68357 and 68377 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68357 and 68377. First we will calculate the prime factors of 68357 and 68377.

Prime Factorization of 68357

Prime Factorization of 68377

Now multiplying the highest exponent prime factors to calculate the LCM of 68357 and 68377.

LCM(68357,68377) = 17¹ × 4021¹ × 101¹ × 677¹
LCM(68357,68377) = 4674046589