What is the Least Common Multiple of 63314 and 63328?

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 63314 and 63328 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63314 and 63328, than apply into the LCM equation.

GCF(63314,63328) = 2
LCM(63314,63328) = ( 63314 × 63328) / 2
LCM(63314,63328) = 4009548992 / 2
LCM(63314,63328) = 2004774496

Least Common Multiple (LCM) of 63314 and 63328 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63314 and 63328. First we will calculate the prime factors of 63314 and 63328.

Prime Factorization of 63314

Prime Factorization of 63328

Now multiplying the highest exponent prime factors to calculate the LCM of 63314 and 63328.

LCM(63314,63328) = 2⁵ × 31657¹ × 1979¹
LCM(63314,63328) = 2004774496