What is the Least Common Multiple of 56829 and 56847?

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 56829 and 56847 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56829 and 56847, than apply into the LCM equation.

GCF(56829,56847) = 3
LCM(56829,56847) = ( 56829 × 56847) / 3
LCM(56829,56847) = 3230558163 / 3
LCM(56829,56847) = 1076852721

Least Common Multiple (LCM) of 56829 and 56847 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56829 and 56847. First we will calculate the prime factors of 56829 and 56847.

Prime Factorization of 56829

Prime Factorization of 56847

Now multiplying the highest exponent prime factors to calculate the LCM of 56829 and 56847.

LCM(56829,56847) = 3¹ × 19¹ × 997¹ × 7¹ × 2707¹
LCM(56829,56847) = 1076852721