What is the Least Common Multiple of 23795 and 23801?

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 23795 and 23801 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23795 and 23801, than apply into the LCM equation.

GCF(23795,23801) = 1
LCM(23795,23801) = ( 23795 × 23801) / 1
LCM(23795,23801) = 566344795 / 1
LCM(23795,23801) = 566344795

Least Common Multiple (LCM) of 23795 and 23801 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23795 and 23801. First we will calculate the prime factors of 23795 and 23801.

Prime Factorization of 23795

Prime Factorization of 23801

Now multiplying the highest exponent prime factors to calculate the LCM of 23795 and 23801.

LCM(23795,23801) = 5¹ × 4759¹ × 23801¹
LCM(23795,23801) = 566344795