What is the Least Common Multiple of 82735 and 82741?

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 82735 and 82741 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82735 and 82741, than apply into the LCM equation.

GCF(82735,82741) = 1
LCM(82735,82741) = ( 82735 × 82741) / 1
LCM(82735,82741) = 6845576635 / 1
LCM(82735,82741) = 6845576635

Least Common Multiple (LCM) of 82735 and 82741 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82735 and 82741. First we will calculate the prime factors of 82735 and 82741.

Prime Factorization of 82735

Prime Factorization of 82741

Now multiplying the highest exponent prime factors to calculate the LCM of 82735 and 82741.

LCM(82735,82741) = 5¹ × 16547¹ × 97¹ × 853¹
LCM(82735,82741) = 6845576635