What is the Least Common Multiple of 63217 and 63233?

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 63217 and 63233 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63217 and 63233, than apply into the LCM equation.

GCF(63217,63233) = 1
LCM(63217,63233) = ( 63217 × 63233) / 1
LCM(63217,63233) = 3997400561 / 1
LCM(63217,63233) = 3997400561

Least Common Multiple (LCM) of 63217 and 63233 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63217 and 63233. First we will calculate the prime factors of 63217 and 63233.

Prime Factorization of 63217

Prime Factorization of 63233

Now multiplying the highest exponent prime factors to calculate the LCM of 63217 and 63233.

LCM(63217,63233) = 7¹ × 11¹ × 821¹ × 37¹ × 1709¹
LCM(63217,63233) = 3997400561