What is the Least Common Multiple of 68642 and 68659?

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 68642 and 68659 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68642 and 68659, than apply into the LCM equation.

GCF(68642,68659) = 1
LCM(68642,68659) = ( 68642 × 68659) / 1
LCM(68642,68659) = 4712891078 / 1
LCM(68642,68659) = 4712891078

Least Common Multiple (LCM) of 68642 and 68659 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68642 and 68659. First we will calculate the prime factors of 68642 and 68659.

Prime Factorization of 68642

Prime Factorization of 68659

Now multiplying the highest exponent prime factors to calculate the LCM of 68642 and 68659.

LCM(68642,68659) = 2¹ × 7¹ × 4903¹ × 68659¹
LCM(68642,68659) = 4712891078