What is the Least Common Multiple of 82592 and 82600?

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 82592 and 82600 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82592 and 82600, than apply into the LCM equation.

GCF(82592,82600) = 8
LCM(82592,82600) = ( 82592 × 82600) / 8
LCM(82592,82600) = 6822099200 / 8
LCM(82592,82600) = 852762400

Least Common Multiple (LCM) of 82592 and 82600 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82592 and 82600. First we will calculate the prime factors of 82592 and 82600.

Prime Factorization of 82592

Prime Factorization of 82600

Now multiplying the highest exponent prime factors to calculate the LCM of 82592 and 82600.

LCM(82592,82600) = 2⁵ × 29¹ × 89¹ × 5² × 7¹ × 59¹
LCM(82592,82600) = 852762400