What is the Least Common Multiple of 82475 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 82475 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 82475 and 82490, than apply into the LCM equation.

GCF(82475,82490) = 5
LCM(82475,82490) = ( 82475 × 82490) / 5
LCM(82475,82490) = 6803362750 / 5
LCM(82475,82490) = 1360672550

Least Common Multiple (LCM) of 82475 and 82490 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82475 and 82490. First we will calculate the prime factors of 82475 and 82490.

Prime Factorization of 82475

Prime Factorization of 82490

Now multiplying the highest exponent prime factors to calculate the LCM of 82475 and 82490.

LCM(82475,82490) = 5² × 3299¹ × 2¹ × 73¹ × 113¹
LCM(82475,82490) = 1360672550