What is the Least Common Multiple of 82850 and 82860?

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 82850 and 82860 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82850 and 82860, than apply into the LCM equation.

GCF(82850,82860) = 10
LCM(82850,82860) = ( 82850 × 82860) / 10
LCM(82850,82860) = 6864951000 / 10
LCM(82850,82860) = 686495100

Least Common Multiple (LCM) of 82850 and 82860 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82850 and 82860. First we will calculate the prime factors of 82850 and 82860.

Prime Factorization of 82850

Prime Factorization of 82860

Now multiplying the highest exponent prime factors to calculate the LCM of 82850 and 82860.

LCM(82850,82860) = 2² × 5² × 1657¹ × 3¹ × 1381¹
LCM(82850,82860) = 686495100