What is the Least Common Multiple of 23835 and 23841?

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 23835 and 23841 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23835 and 23841, than apply into the LCM equation.

GCF(23835,23841) = 3
LCM(23835,23841) = ( 23835 × 23841) / 3
LCM(23835,23841) = 568250235 / 3
LCM(23835,23841) = 189416745

Least Common Multiple (LCM) of 23835 and 23841 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23835 and 23841. First we will calculate the prime factors of 23835 and 23841.

Prime Factorization of 23835

Prime Factorization of 23841

Now multiplying the highest exponent prime factors to calculate the LCM of 23835 and 23841.

LCM(23835,23841) = 3³ × 5¹ × 7¹ × 227¹ × 883¹
LCM(23835,23841) = 189416745