What is the Least Common Multiple of 82775 and 82782?

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 82775 and 82782 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82775 and 82782, than apply into the LCM equation.

GCF(82775,82782) = 7
LCM(82775,82782) = ( 82775 × 82782) / 7
LCM(82775,82782) = 6852280050 / 7
LCM(82775,82782) = 978897150

Least Common Multiple (LCM) of 82775 and 82782 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82775 and 82782. First we will calculate the prime factors of 82775 and 82782.

Prime Factorization of 82775

Prime Factorization of 82782

Now multiplying the highest exponent prime factors to calculate the LCM of 82775 and 82782.

LCM(82775,82782) = 5² × 7¹ × 11¹ × 43¹ × 2¹ × 3⁴ × 73¹
LCM(82775,82782) = 978897150