What is the Least Common Multiple of 82483 and 82490?

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 82483 and 82490 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82483 and 82490, than apply into the LCM equation.

GCF(82483,82490) = 1
LCM(82483,82490) = ( 82483 × 82490) / 1
LCM(82483,82490) = 6804022670 / 1
LCM(82483,82490) = 6804022670

Least Common Multiple (LCM) of 82483 and 82490 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82483 and 82490. First we will calculate the prime factors of 82483 and 82490.

Prime Factorization of 82483

Prime Factorization of 82490

Now multiplying the highest exponent prime factors to calculate the LCM of 82483 and 82490.

LCM(82483,82490) = 82483¹ × 2¹ × 5¹ × 73¹ × 113¹
LCM(82483,82490) = 6804022670