What is the Least Common Multiple of 23600 and 23614?

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 23600 and 23614 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23600 and 23614, than apply into the LCM equation.

GCF(23600,23614) = 2
LCM(23600,23614) = ( 23600 × 23614) / 2
LCM(23600,23614) = 557290400 / 2
LCM(23600,23614) = 278645200

Least Common Multiple (LCM) of 23600 and 23614 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23600 and 23614. First we will calculate the prime factors of 23600 and 23614.

Prime Factorization of 23600

Prime Factorization of 23614

Now multiplying the highest exponent prime factors to calculate the LCM of 23600 and 23614.

LCM(23600,23614) = 2⁴ × 5² × 59¹ × 11807¹
LCM(23600,23614) = 278645200