What is the Least Common Multiple of 8729 and 8747?

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 8729 and 8747 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8729 and 8747, than apply into the LCM equation.

GCF(8729,8747) = 1
LCM(8729,8747) = ( 8729 × 8747) / 1
LCM(8729,8747) = 76352563 / 1
LCM(8729,8747) = 76352563

Least Common Multiple (LCM) of 8729 and 8747 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8729 and 8747. First we will calculate the prime factors of 8729 and 8747.

Prime Factorization of 8729

Prime Factorization of 8747

Now multiplying the highest exponent prime factors to calculate the LCM of 8729 and 8747.

LCM(8729,8747) = 7¹ × 29¹ × 43¹ × 8747¹
LCM(8729,8747) = 76352563