What is the Least Common Multiple of 86815 and 86835?

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 86815 and 86835 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86815 and 86835, than apply into the LCM equation.

GCF(86815,86835) = 5
LCM(86815,86835) = ( 86815 × 86835) / 5
LCM(86815,86835) = 7538580525 / 5
LCM(86815,86835) = 1507716105

Least Common Multiple (LCM) of 86815 and 86835 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86815 and 86835. First we will calculate the prime factors of 86815 and 86835.

Prime Factorization of 86815

Prime Factorization of 86835

Now multiplying the highest exponent prime factors to calculate the LCM of 86815 and 86835.

LCM(86815,86835) = 5¹ × 97¹ × 179¹ × 3¹ × 7¹ × 827¹
LCM(86815,86835) = 1507716105