What is the Least Common Multiple of 83860 and 83870?

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 83860 and 83870 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83860 and 83870, than apply into the LCM equation.

GCF(83860,83870) = 10
LCM(83860,83870) = ( 83860 × 83870) / 10
LCM(83860,83870) = 7033338200 / 10
LCM(83860,83870) = 703333820

Least Common Multiple (LCM) of 83860 and 83870 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83860 and 83870. First we will calculate the prime factors of 83860 and 83870.

Prime Factorization of 83860

Prime Factorization of 83870

Now multiplying the highest exponent prime factors to calculate the LCM of 83860 and 83870.

LCM(83860,83870) = 2² × 5¹ × 7¹ × 599¹ × 8387¹
LCM(83860,83870) = 703333820