What is the Least Common Multiple of 23405 and 23416?

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 23405 and 23416 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23405 and 23416, than apply into the LCM equation.

GCF(23405,23416) = 1
LCM(23405,23416) = ( 23405 × 23416) / 1
LCM(23405,23416) = 548051480 / 1
LCM(23405,23416) = 548051480

Least Common Multiple (LCM) of 23405 and 23416 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23405 and 23416. First we will calculate the prime factors of 23405 and 23416.

Prime Factorization of 23405

Prime Factorization of 23416

Now multiplying the highest exponent prime factors to calculate the LCM of 23405 and 23416.

LCM(23405,23416) = 5¹ × 31¹ × 151¹ × 2³ × 2927¹
LCM(23405,23416) = 548051480