What is the Least Common Multiple of 82705 and 82713?

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 82705 and 82713 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82705 and 82713, than apply into the LCM equation.

GCF(82705,82713) = 1
LCM(82705,82713) = ( 82705 × 82713) / 1
LCM(82705,82713) = 6840778665 / 1
LCM(82705,82713) = 6840778665

Least Common Multiple (LCM) of 82705 and 82713 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82705 and 82713. First we will calculate the prime factors of 82705 and 82713.

Prime Factorization of 82705

Prime Factorization of 82713

Now multiplying the highest exponent prime factors to calculate the LCM of 82705 and 82713.

LCM(82705,82713) = 5¹ × 7¹ × 17¹ × 139¹ × 3¹ × 79¹ × 349¹
LCM(82705,82713) = 6840778665