What is the Least Common Multiple of 82830 and 82842?

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 82842 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 82842, than apply into the LCM equation.

GCF(82830,82842) = 6
LCM(82830,82842) = ( 82830 × 82842) / 6
LCM(82830,82842) = 6861802860 / 6
LCM(82830,82842) = 1143633810

Least Common Multiple (LCM) of 82830 and 82842 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82830 and 82842. First we will calculate the prime factors of 82830 and 82842.

Prime Factorization of 82830

Prime Factorization of 82842

Now multiplying the highest exponent prime factors to calculate the LCM of 82830 and 82842.

LCM(82830,82842) = 2¹ × 3¹ × 5¹ × 11¹ × 251¹ × 13807¹
LCM(82830,82842) = 1143633810