What is the Least Common Multiple of 82420 and 82426?

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 82420 and 82426 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82420 and 82426, than apply into the LCM equation.

GCF(82420,82426) = 2
LCM(82420,82426) = ( 82420 × 82426) / 2
LCM(82420,82426) = 6793550920 / 2
LCM(82420,82426) = 3396775460

Least Common Multiple (LCM) of 82420 and 82426 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82420 and 82426. First we will calculate the prime factors of 82420 and 82426.

Prime Factorization of 82420

Prime Factorization of 82426

Now multiplying the highest exponent prime factors to calculate the LCM of 82420 and 82426.

LCM(82420,82426) = 2² × 5¹ × 13¹ × 317¹ × 41213¹
LCM(82420,82426) = 3396775460