What is the Least Common Multiple of 82709 and 82720?

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 82709 and 82720 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82709 and 82720, than apply into the LCM equation.

GCF(82709,82720) = 11
LCM(82709,82720) = ( 82709 × 82720) / 11
LCM(82709,82720) = 6841688480 / 11
LCM(82709,82720) = 621971680

Least Common Multiple (LCM) of 82709 and 82720 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82709 and 82720. First we will calculate the prime factors of 82709 and 82720.

Prime Factorization of 82709

Prime Factorization of 82720

Now multiplying the highest exponent prime factors to calculate the LCM of 82709 and 82720.

LCM(82709,82720) = 11¹ × 73¹ × 103¹ × 2⁵ × 5¹ × 47¹
LCM(82709,82720) = 621971680