What is the Least Common Multiple of 68729 and 68747?

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 68729 and 68747 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68729 and 68747, than apply into the LCM equation.

GCF(68729,68747) = 1
LCM(68729,68747) = ( 68729 × 68747) / 1
LCM(68729,68747) = 4724912563 / 1
LCM(68729,68747) = 4724912563

Least Common Multiple (LCM) of 68729 and 68747 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68729 and 68747. First we will calculate the prime factors of 68729 and 68747.

Prime Factorization of 68729

Prime Factorization of 68747

Now multiplying the highest exponent prime factors to calculate the LCM of 68729 and 68747.

LCM(68729,68747) = 68729¹ × 7² × 23¹ × 61¹
LCM(68729,68747) = 4724912563