What is the Least Common Multiple of 82720 and 82735?

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 82720 and 82735 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82720 and 82735, than apply into the LCM equation.

GCF(82720,82735) = 5
LCM(82720,82735) = ( 82720 × 82735) / 5
LCM(82720,82735) = 6843839200 / 5
LCM(82720,82735) = 1368767840

Least Common Multiple (LCM) of 82720 and 82735 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82720 and 82735. First we will calculate the prime factors of 82720 and 82735.

Prime Factorization of 82720

Prime Factorization of 82735

Now multiplying the highest exponent prime factors to calculate the LCM of 82720 and 82735.

LCM(82720,82735) = 2⁵ × 5¹ × 11¹ × 47¹ × 16547¹
LCM(82720,82735) = 1368767840