What is the Least Common Multiple of 82415 and 82430?

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 82415 and 82430 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82415 and 82430, than apply into the LCM equation.

GCF(82415,82430) = 5
LCM(82415,82430) = ( 82415 × 82430) / 5
LCM(82415,82430) = 6793468450 / 5
LCM(82415,82430) = 1358693690

Least Common Multiple (LCM) of 82415 and 82430 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82415 and 82430. First we will calculate the prime factors of 82415 and 82430.

Prime Factorization of 82415

Prime Factorization of 82430

Now multiplying the highest exponent prime factors to calculate the LCM of 82415 and 82430.

LCM(82415,82430) = 5¹ × 53¹ × 311¹ × 2¹ × 8243¹
LCM(82415,82430) = 1358693690