What is the Least Common Multiple of 63568 and 63578?

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 63568 and 63578 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63568 and 63578, than apply into the LCM equation.

GCF(63568,63578) = 2
LCM(63568,63578) = ( 63568 × 63578) / 2
LCM(63568,63578) = 4041526304 / 2
LCM(63568,63578) = 2020763152

Least Common Multiple (LCM) of 63568 and 63578 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63568 and 63578. First we will calculate the prime factors of 63568 and 63578.

Prime Factorization of 63568

Prime Factorization of 63578

Now multiplying the highest exponent prime factors to calculate the LCM of 63568 and 63578.

LCM(63568,63578) = 2⁴ × 29¹ × 137¹ × 83¹ × 383¹
LCM(63568,63578) = 2020763152