What is the Least Common Multiple of 82190 and 82205?

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 82190 and 82205 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82190 and 82205, than apply into the LCM equation.

GCF(82190,82205) = 5
LCM(82190,82205) = ( 82190 × 82205) / 5
LCM(82190,82205) = 6756428950 / 5
LCM(82190,82205) = 1351285790

Least Common Multiple (LCM) of 82190 and 82205 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82190 and 82205. First we will calculate the prime factors of 82190 and 82205.

Prime Factorization of 82190

Prime Factorization of 82205

Now multiplying the highest exponent prime factors to calculate the LCM of 82190 and 82205.

LCM(82190,82205) = 2¹ × 5¹ × 8219¹ × 41¹ × 401¹
LCM(82190,82205) = 1351285790