What is the Least Common Multiple of 82830 and 82847?

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 82830 and 82847 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82830 and 82847, than apply into the LCM equation.

GCF(82830,82847) = 1
LCM(82830,82847) = ( 82830 × 82847) / 1
LCM(82830,82847) = 6862217010 / 1
LCM(82830,82847) = 6862217010

Least Common Multiple (LCM) of 82830 and 82847 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82830 and 82847. First we will calculate the prime factors of 82830 and 82847.

Prime Factorization of 82830

Prime Factorization of 82847

Now multiplying the highest exponent prime factors to calculate the LCM of 82830 and 82847.

LCM(82830,82847) = 2¹ × 3¹ × 5¹ × 11¹ × 251¹ × 82847¹
LCM(82830,82847) = 6862217010