What is the Least Common Multiple of 83420 and 83434?

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 83420 and 83434 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83420 and 83434, than apply into the LCM equation.

GCF(83420,83434) = 2
LCM(83420,83434) = ( 83420 × 83434) / 2
LCM(83420,83434) = 6960064280 / 2
LCM(83420,83434) = 3480032140

Least Common Multiple (LCM) of 83420 and 83434 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83420 and 83434. First we will calculate the prime factors of 83420 and 83434.

Prime Factorization of 83420

Prime Factorization of 83434

Now multiplying the highest exponent prime factors to calculate the LCM of 83420 and 83434.

LCM(83420,83434) = 2² × 5¹ × 43¹ × 97¹ × 13¹ × 3209¹
LCM(83420,83434) = 3480032140