What is the Least Common Multiple of 63206 and 63211?

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 63206 and 63211 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63206 and 63211, than apply into the LCM equation.

GCF(63206,63211) = 1
LCM(63206,63211) = ( 63206 × 63211) / 1
LCM(63206,63211) = 3995314466 / 1
LCM(63206,63211) = 3995314466

Least Common Multiple (LCM) of 63206 and 63211 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63206 and 63211. First we will calculate the prime factors of 63206 and 63211.

Prime Factorization of 63206

Prime Factorization of 63211

Now multiplying the highest exponent prime factors to calculate the LCM of 63206 and 63211.

LCM(63206,63211) = 2¹ × 11¹ × 13² × 17¹ × 63211¹
LCM(63206,63211) = 3995314466