GCF and LCM Calculator Logo

What is the Least Common Multiple of 48729 and 48733?

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 48729 and 48733 is 2374710357.

LCM(48729,48733) = 2374710357

LCM Calculator and
and

Least Common Multiple of 48729 and 48733 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48729 and 48733, than apply into the LCM equation.

GCF(48729,48733) = 1
LCM(48729,48733) = ( 48729 × 48733) / 1
LCM(48729,48733) = 2374710357 / 1
LCM(48729,48733) = 2374710357

Least Common Multiple (LCM) of 48729 and 48733 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48729 and 48733. First we will calculate the prime factors of 48729 and 48733.

Prime Factorization of 48729

Prime factors of 48729 are 3, 37, 439. Prime factorization of 48729 in exponential form is:

48729 = 31 × 371 × 4391

Prime Factorization of 48733

Prime factors of 48733 are 48733. Prime factorization of 48733 in exponential form is:

48733 = 487331

Now multiplying the highest exponent prime factors to calculate the LCM of 48729 and 48733.

LCM(48729,48733) = 31 × 371 × 4391 × 487331
LCM(48729,48733) = 2374710357