What is the Least Common Multiple of 63696 and 63716?

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 63696 and 63716 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63696 and 63716, than apply into the LCM equation.

GCF(63696,63716) = 4
LCM(63696,63716) = ( 63696 × 63716) / 4
LCM(63696,63716) = 4058454336 / 4
LCM(63696,63716) = 1014613584

Least Common Multiple (LCM) of 63696 and 63716 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63696 and 63716. First we will calculate the prime factors of 63696 and 63716.

Prime Factorization of 63696

Prime Factorization of 63716

Now multiplying the highest exponent prime factors to calculate the LCM of 63696 and 63716.

LCM(63696,63716) = 2⁴ × 3¹ × 1327¹ × 17¹ × 937¹
LCM(63696,63716) = 1014613584