What is the Least Common Multiple of 82050 and 82066?

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 82066 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 82066, than apply into the LCM equation.

GCF(82050,82066) = 2
LCM(82050,82066) = ( 82050 × 82066) / 2
LCM(82050,82066) = 6733515300 / 2
LCM(82050,82066) = 3366757650

Least Common Multiple (LCM) of 82050 and 82066 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82050 and 82066. First we will calculate the prime factors of 82050 and 82066.

Prime Factorization of 82050

Prime Factorization of 82066

Now multiplying the highest exponent prime factors to calculate the LCM of 82050 and 82066.

LCM(82050,82066) = 2¹ × 3¹ × 5² × 547¹ × 37¹ × 1109¹
LCM(82050,82066) = 3366757650