What is the Least Common Multiple of 23714 and 23734?

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 23714 and 23734 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23714 and 23734, than apply into the LCM equation.

GCF(23714,23734) = 2
LCM(23714,23734) = ( 23714 × 23734) / 2
LCM(23714,23734) = 562828076 / 2
LCM(23714,23734) = 281414038

Least Common Multiple (LCM) of 23714 and 23734 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23714 and 23734. First we will calculate the prime factors of 23714 and 23734.

Prime Factorization of 23714

Prime Factorization of 23734

Now multiplying the highest exponent prime factors to calculate the LCM of 23714 and 23734.

LCM(23714,23734) = 2¹ × 71¹ × 167¹ × 11867¹
LCM(23714,23734) = 281414038