What is the Least Common Multiple of 82550 and 82563?

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 82550 and 82563 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82550 and 82563, than apply into the LCM equation.

GCF(82550,82563) = 13
LCM(82550,82563) = ( 82550 × 82563) / 13
LCM(82550,82563) = 6815575650 / 13
LCM(82550,82563) = 524275050

Least Common Multiple (LCM) of 82550 and 82563 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82550 and 82563. First we will calculate the prime factors of 82550 and 82563.

Prime Factorization of 82550

Prime Factorization of 82563

Now multiplying the highest exponent prime factors to calculate the LCM of 82550 and 82563.

LCM(82550,82563) = 2¹ × 5² × 13¹ × 127¹ × 3¹ × 29¹ × 73¹
LCM(82550,82563) = 524275050