What is the Least Common Multiple of 93815 and 93829?

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 93815 and 93829 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93815 and 93829, than apply into the LCM equation.

GCF(93815,93829) = 1
LCM(93815,93829) = ( 93815 × 93829) / 1
LCM(93815,93829) = 8802567635 / 1
LCM(93815,93829) = 8802567635

Least Common Multiple (LCM) of 93815 and 93829 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93815 and 93829. First we will calculate the prime factors of 93815 and 93829.

Prime Factorization of 93815

Prime Factorization of 93829

Now multiplying the highest exponent prime factors to calculate the LCM of 93815 and 93829.

LCM(93815,93829) = 5¹ × 29¹ × 647¹ × 101¹ × 929¹
LCM(93815,93829) = 8802567635