What is the Least Common Multiple of 82420 and 82434?

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 82434 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 82434, than apply into the LCM equation.

GCF(82420,82434) = 2
LCM(82420,82434) = ( 82420 × 82434) / 2
LCM(82420,82434) = 6794210280 / 2
LCM(82420,82434) = 3397105140

Least Common Multiple (LCM) of 82420 and 82434 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82420 and 82434. First we will calculate the prime factors of 82420 and 82434.

Prime Factorization of 82420

Prime Factorization of 82434

Now multiplying the highest exponent prime factors to calculate the LCM of 82420 and 82434.

LCM(82420,82434) = 2² × 5¹ × 13¹ × 317¹ × 3¹ × 11¹ × 1249¹
LCM(82420,82434) = 3397105140