What is the Least Common Multiple of 63906 and 63922?

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 63906 and 63922 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63906 and 63922, than apply into the LCM equation.

GCF(63906,63922) = 2
LCM(63906,63922) = ( 63906 × 63922) / 2
LCM(63906,63922) = 4084999332 / 2
LCM(63906,63922) = 2042499666

Least Common Multiple (LCM) of 63906 and 63922 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63906 and 63922. First we will calculate the prime factors of 63906 and 63922.

Prime Factorization of 63906

Prime Factorization of 63922

Now multiplying the highest exponent prime factors to calculate the LCM of 63906 and 63922.

LCM(63906,63922) = 2¹ × 3¹ × 10651¹ × 31¹ × 1031¹
LCM(63906,63922) = 2042499666