What is the Least Common Multiple of 63056 and 63064?

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 63056 and 63064 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63056 and 63064, than apply into the LCM equation.

GCF(63056,63064) = 8
LCM(63056,63064) = ( 63056 × 63064) / 8
LCM(63056,63064) = 3976563584 / 8
LCM(63056,63064) = 497070448

Least Common Multiple (LCM) of 63056 and 63064 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63056 and 63064. First we will calculate the prime factors of 63056 and 63064.

Prime Factorization of 63056

Prime Factorization of 63064

Now multiplying the highest exponent prime factors to calculate the LCM of 63056 and 63064.

LCM(63056,63064) = 2⁴ × 7¹ × 563¹ × 7883¹
LCM(63056,63064) = 497070448