What is the Least Common Multiple of 17600 and 17614?

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 17600 and 17614 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17600 and 17614, than apply into the LCM equation.

GCF(17600,17614) = 2
LCM(17600,17614) = ( 17600 × 17614) / 2
LCM(17600,17614) = 310006400 / 2
LCM(17600,17614) = 155003200

Least Common Multiple (LCM) of 17600 and 17614 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17600 and 17614. First we will calculate the prime factors of 17600 and 17614.

Prime Factorization of 17600

Prime Factorization of 17614

Now multiplying the highest exponent prime factors to calculate the LCM of 17600 and 17614.

LCM(17600,17614) = 2⁶ × 5² × 11¹ × 8807¹
LCM(17600,17614) = 155003200