What is the Least Common Multiple of 82603 and 82620?

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 82603 and 82620 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82603 and 82620, than apply into the LCM equation.

GCF(82603,82620) = 17
LCM(82603,82620) = ( 82603 × 82620) / 17
LCM(82603,82620) = 6824659860 / 17
LCM(82603,82620) = 401450580

Least Common Multiple (LCM) of 82603 and 82620 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82603 and 82620. First we will calculate the prime factors of 82603 and 82620.

Prime Factorization of 82603

Prime Factorization of 82620

Now multiplying the highest exponent prime factors to calculate the LCM of 82603 and 82620.

LCM(82603,82620) = 17¹ × 43¹ × 113¹ × 2² × 3⁵ × 5¹
LCM(82603,82620) = 401450580