What is the Least Common Multiple of 83029 and 83047?

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 83029 and 83047 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83029 and 83047, than apply into the LCM equation.

GCF(83029,83047) = 1
LCM(83029,83047) = ( 83029 × 83047) / 1
LCM(83029,83047) = 6895309363 / 1
LCM(83029,83047) = 6895309363

Least Common Multiple (LCM) of 83029 and 83047 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83029 and 83047. First we will calculate the prime factors of 83029 and 83047.

Prime Factorization of 83029

Prime Factorization of 83047

Now multiplying the highest exponent prime factors to calculate the LCM of 83029 and 83047.

LCM(83029,83047) = 79¹ × 1051¹ × 83047¹
LCM(83029,83047) = 6895309363