What is the Least Common Multiple of 82050 and 82064?

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 82050 and 82064 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82050 and 82064, than apply into the LCM equation.

GCF(82050,82064) = 2
LCM(82050,82064) = ( 82050 × 82064) / 2
LCM(82050,82064) = 6733351200 / 2
LCM(82050,82064) = 3366675600

Least Common Multiple (LCM) of 82050 and 82064 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82050 and 82064. First we will calculate the prime factors of 82050 and 82064.

Prime Factorization of 82050

Prime Factorization of 82064

Now multiplying the highest exponent prime factors to calculate the LCM of 82050 and 82064.

LCM(82050,82064) = 2⁴ × 3¹ × 5² × 547¹ × 23¹ × 223¹
LCM(82050,82064) = 3366675600