What is the Least Common Multiple of 68649 and 68667?

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 68649 and 68667 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68649 and 68667, than apply into the LCM equation.

GCF(68649,68667) = 3
LCM(68649,68667) = ( 68649 × 68667) / 3
LCM(68649,68667) = 4713920883 / 3
LCM(68649,68667) = 1571306961

Least Common Multiple (LCM) of 68649 and 68667 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68649 and 68667. First we will calculate the prime factors of 68649 and 68667.

Prime Factorization of 68649

Prime Factorization of 68667

Now multiplying the highest exponent prime factors to calculate the LCM of 68649 and 68667.

LCM(68649,68667) = 3¹ × 7² × 467¹ × 47¹ × 487¹
LCM(68649,68667) = 1571306961