What is the Least Common Multiple of 65600 and 65614?

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 65600 and 65614 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65600 and 65614, than apply into the LCM equation.

GCF(65600,65614) = 2
LCM(65600,65614) = ( 65600 × 65614) / 2
LCM(65600,65614) = 4304278400 / 2
LCM(65600,65614) = 2152139200

Least Common Multiple (LCM) of 65600 and 65614 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65600 and 65614. First we will calculate the prime factors of 65600 and 65614.

Prime Factorization of 65600

Prime Factorization of 65614

Now multiplying the highest exponent prime factors to calculate the LCM of 65600 and 65614.

LCM(65600,65614) = 2⁶ × 5² × 41¹ × 53¹ × 619¹
LCM(65600,65614) = 2152139200