What is the Least Common Multiple of 82420 and 82436?

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 82436 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 82436, than apply into the LCM equation.

GCF(82420,82436) = 4
LCM(82420,82436) = ( 82420 × 82436) / 4
LCM(82420,82436) = 6794375120 / 4
LCM(82420,82436) = 1698593780

Least Common Multiple (LCM) of 82420 and 82436 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82420 and 82436. First we will calculate the prime factors of 82420 and 82436.

Prime Factorization of 82420

Prime Factorization of 82436

Now multiplying the highest exponent prime factors to calculate the LCM of 82420 and 82436.

LCM(82420,82436) = 2² × 5¹ × 13¹ × 317¹ × 37¹ × 557¹
LCM(82420,82436) = 1698593780