What is the Least Common Multiple of 82768 and 82785?

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 82768 and 82785 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82768 and 82785, than apply into the LCM equation.

GCF(82768,82785) = 1
LCM(82768,82785) = ( 82768 × 82785) / 1
LCM(82768,82785) = 6851948880 / 1
LCM(82768,82785) = 6851948880

Least Common Multiple (LCM) of 82768 and 82785 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82768 and 82785. First we will calculate the prime factors of 82768 and 82785.

Prime Factorization of 82768

Prime Factorization of 82785

Now multiplying the highest exponent prime factors to calculate the LCM of 82768 and 82785.

LCM(82768,82785) = 2⁴ × 7¹ × 739¹ × 3¹ × 5¹ × 5519¹
LCM(82768,82785) = 6851948880