What is the Least Common Multiple of 68674 and 68691?

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 68674 and 68691 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68674 and 68691, than apply into the LCM equation.

GCF(68674,68691) = 1
LCM(68674,68691) = ( 68674 × 68691) / 1
LCM(68674,68691) = 4717285734 / 1
LCM(68674,68691) = 4717285734

Least Common Multiple (LCM) of 68674 and 68691 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68674 and 68691. First we will calculate the prime factors of 68674 and 68691.

Prime Factorization of 68674

Prime Factorization of 68691

Now multiplying the highest exponent prime factors to calculate the LCM of 68674 and 68691.

LCM(68674,68691) = 2¹ × 34337¹ × 3¹ × 7¹ × 3271¹
LCM(68674,68691) = 4717285734