What is the Least Common Multiple of 63856 and 63874?

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 63856 and 63874 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63856 and 63874, than apply into the LCM equation.

GCF(63856,63874) = 2
LCM(63856,63874) = ( 63856 × 63874) / 2
LCM(63856,63874) = 4078738144 / 2
LCM(63856,63874) = 2039369072

Least Common Multiple (LCM) of 63856 and 63874 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63856 and 63874. First we will calculate the prime factors of 63856 and 63874.

Prime Factorization of 63856

Prime Factorization of 63874

Now multiplying the highest exponent prime factors to calculate the LCM of 63856 and 63874.

LCM(63856,63874) = 2⁴ × 13¹ × 307¹ × 109¹ × 293¹
LCM(63856,63874) = 2039369072