What is the Least Common Multiple of 83742 and 83750?

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 83742 and 83750 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83742 and 83750, than apply into the LCM equation.

GCF(83742,83750) = 2
LCM(83742,83750) = ( 83742 × 83750) / 2
LCM(83742,83750) = 7013392500 / 2
LCM(83742,83750) = 3506696250

Least Common Multiple (LCM) of 83742 and 83750 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83742 and 83750. First we will calculate the prime factors of 83742 and 83750.

Prime Factorization of 83742

Prime Factorization of 83750

Now multiplying the highest exponent prime factors to calculate the LCM of 83742 and 83750.

LCM(83742,83750) = 2¹ × 3¹ × 17¹ × 821¹ × 5⁴ × 67¹
LCM(83742,83750) = 3506696250