What is the Least Common Multiple of 63869 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 63869 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 63869 and 63874, than apply into the LCM equation.

GCF(63869,63874) = 1
LCM(63869,63874) = ( 63869 × 63874) / 1
LCM(63869,63874) = 4079568506 / 1
LCM(63869,63874) = 4079568506

Least Common Multiple (LCM) of 63869 and 63874 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63869 and 63874. First we will calculate the prime factors of 63869 and 63874.

Prime Factorization of 63869

Prime Factorization of 63874

Now multiplying the highest exponent prime factors to calculate the LCM of 63869 and 63874.

LCM(63869,63874) = 13¹ × 17³ × 2¹ × 109¹ × 293¹
LCM(63869,63874) = 4079568506