What is the Least Common Multiple of 23740 and 23746?

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 23740 and 23746 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23740 and 23746, than apply into the LCM equation.

GCF(23740,23746) = 2
LCM(23740,23746) = ( 23740 × 23746) / 2
LCM(23740,23746) = 563730040 / 2
LCM(23740,23746) = 281865020

Least Common Multiple (LCM) of 23740 and 23746 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23740 and 23746. First we will calculate the prime factors of 23740 and 23746.

Prime Factorization of 23740

Prime Factorization of 23746

Now multiplying the highest exponent prime factors to calculate the LCM of 23740 and 23746.

LCM(23740,23746) = 2² × 5¹ × 1187¹ × 31¹ × 383¹
LCM(23740,23746) = 281865020