What is the Least Common Multiple of 63291 and 63308?

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 63291 and 63308 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63291 and 63308, than apply into the LCM equation.

GCF(63291,63308) = 17
LCM(63291,63308) = ( 63291 × 63308) / 17
LCM(63291,63308) = 4006826628 / 17
LCM(63291,63308) = 235695684

Least Common Multiple (LCM) of 63291 and 63308 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63291 and 63308. First we will calculate the prime factors of 63291 and 63308.

Prime Factorization of 63291

Prime Factorization of 63308

Now multiplying the highest exponent prime factors to calculate the LCM of 63291 and 63308.

LCM(63291,63308) = 3¹ × 17² × 73¹ × 2² × 7² × 19¹
LCM(63291,63308) = 235695684