What is the Least Common Multiple of 63328 and 63346?

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 63328 and 63346 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63328 and 63346, than apply into the LCM equation.

GCF(63328,63346) = 2
LCM(63328,63346) = ( 63328 × 63346) / 2
LCM(63328,63346) = 4011575488 / 2
LCM(63328,63346) = 2005787744

Least Common Multiple (LCM) of 63328 and 63346 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63328 and 63346. First we will calculate the prime factors of 63328 and 63346.

Prime Factorization of 63328

Prime Factorization of 63346

Now multiplying the highest exponent prime factors to calculate the LCM of 63328 and 63346.

LCM(63328,63346) = 2⁵ × 1979¹ × 19¹ × 1667¹
LCM(63328,63346) = 2005787744