What is the Least Common Multiple of 68369 and 68386?

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 68369 and 68386 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68369 and 68386, than apply into the LCM equation.

GCF(68369,68386) = 1
LCM(68369,68386) = ( 68369 × 68386) / 1
LCM(68369,68386) = 4675482434 / 1
LCM(68369,68386) = 4675482434

Least Common Multiple (LCM) of 68369 and 68386 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68369 and 68386. First we will calculate the prime factors of 68369 and 68386.

Prime Factorization of 68369

Prime Factorization of 68386

Now multiplying the highest exponent prime factors to calculate the LCM of 68369 and 68386.

LCM(68369,68386) = 7¹ × 9767¹ × 2¹ × 31¹ × 1103¹
LCM(68369,68386) = 4675482434