What is the Least Common Multiple of 63842 and 63854?

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 63842 and 63854 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63842 and 63854, than apply into the LCM equation.

GCF(63842,63854) = 2
LCM(63842,63854) = ( 63842 × 63854) / 2
LCM(63842,63854) = 4076567068 / 2
LCM(63842,63854) = 2038283534

Least Common Multiple (LCM) of 63842 and 63854 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63842 and 63854. First we will calculate the prime factors of 63842 and 63854.

Prime Factorization of 63842

Prime Factorization of 63854

Now multiplying the highest exponent prime factors to calculate the LCM of 63842 and 63854.

LCM(63842,63854) = 2¹ × 137¹ × 233¹ × 7¹ × 4561¹
LCM(63842,63854) = 2038283534