What is the Least Common Multiple of 83815 and 83835?

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 83815 and 83835 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83815 and 83835, than apply into the LCM equation.

GCF(83815,83835) = 5
LCM(83815,83835) = ( 83815 × 83835) / 5
LCM(83815,83835) = 7026630525 / 5
LCM(83815,83835) = 1405326105

Least Common Multiple (LCM) of 83815 and 83835 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83815 and 83835. First we will calculate the prime factors of 83815 and 83835.

Prime Factorization of 83815

Prime Factorization of 83835

Now multiplying the highest exponent prime factors to calculate the LCM of 83815 and 83835.

LCM(83815,83835) = 5¹ × 16763¹ × 3⁶ × 23¹
LCM(83815,83835) = 1405326105