What is the Least Common Multiple of 67808 and 67814?

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 67808 and 67814 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67808 and 67814, than apply into the LCM equation.

GCF(67808,67814) = 2
LCM(67808,67814) = ( 67808 × 67814) / 2
LCM(67808,67814) = 4598331712 / 2
LCM(67808,67814) = 2299165856

Least Common Multiple (LCM) of 67808 and 67814 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67808 and 67814. First we will calculate the prime factors of 67808 and 67814.

Prime Factorization of 67808

Prime Factorization of 67814

Now multiplying the highest exponent prime factors to calculate the LCM of 67808 and 67814.

LCM(67808,67814) = 2⁵ × 13¹ × 163¹ × 41¹ × 827¹
LCM(67808,67814) = 2299165856