GCF and LCM Calculator Logo

What is the Least Common Multiple of 63705 and 63723?

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 63705 and 63723 is 1353157905.

LCM(63705,63723) = 1353157905

LCM Calculator and
and

Least Common Multiple of 63705 and 63723 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63705 and 63723, than apply into the LCM equation.

GCF(63705,63723) = 3
LCM(63705,63723) = ( 63705 × 63723) / 3
LCM(63705,63723) = 4059473715 / 3
LCM(63705,63723) = 1353157905

Least Common Multiple (LCM) of 63705 and 63723 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63705 and 63723. First we will calculate the prime factors of 63705 and 63723.

Prime Factorization of 63705

Prime factors of 63705 are 3, 5, 31, 137. Prime factorization of 63705 in exponential form is:

63705 = 31 × 51 × 311 × 1371

Prime Factorization of 63723

Prime factors of 63723 are 3, 11, 1931. Prime factorization of 63723 in exponential form is:

63723 = 31 × 111 × 19311

Now multiplying the highest exponent prime factors to calculate the LCM of 63705 and 63723.

LCM(63705,63723) = 31 × 51 × 311 × 1371 × 111 × 19311
LCM(63705,63723) = 1353157905