GCF and LCM Calculator Logo

What is the Least Common Multiple of 48656 and 48663?

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 (LCM) of 48656 and 48663 is 2367746928.

LCM(48656,48663) = 2367746928

LCM Calculator and
and

Least Common Multiple of 48656 and 48663 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48656 and 48663, than apply into the LCM equation.

GCF(48656,48663) = 1
LCM(48656,48663) = ( 48656 × 48663) / 1
LCM(48656,48663) = 2367746928 / 1
LCM(48656,48663) = 2367746928

Least Common Multiple (LCM) of 48656 and 48663 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48656 and 48663. First we will calculate the prime factors of 48656 and 48663.

Prime Factorization of 48656

Prime factors of 48656 are 2, 3041. Prime factorization of 48656 in exponential form is:

48656 = 24 × 30411

Prime Factorization of 48663

Prime factors of 48663 are 3, 5407. Prime factorization of 48663 in exponential form is:

48663 = 32 × 54071

Now multiplying the highest exponent prime factors to calculate the LCM of 48656 and 48663.

LCM(48656,48663) = 24 × 30411 × 32 × 54071
LCM(48656,48663) = 2367746928