GCF and LCM Calculator Logo

What is the Least Common Multiple of 57363 and 57370?

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 57363 and 57370 is 3290915310.

LCM(57363,57370) = 3290915310

LCM Calculator and
and

Least Common Multiple of 57363 and 57370 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57363 and 57370, than apply into the LCM equation.

GCF(57363,57370) = 1
LCM(57363,57370) = ( 57363 × 57370) / 1
LCM(57363,57370) = 3290915310 / 1
LCM(57363,57370) = 3290915310

Least Common Multiple (LCM) of 57363 and 57370 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57363 and 57370. First we will calculate the prime factors of 57363 and 57370.

Prime Factorization of 57363

Prime factors of 57363 are 3, 19121. Prime factorization of 57363 in exponential form is:

57363 = 31 × 191211

Prime Factorization of 57370

Prime factors of 57370 are 2, 5, 5737. Prime factorization of 57370 in exponential form is:

57370 = 21 × 51 × 57371

Now multiplying the highest exponent prime factors to calculate the LCM of 57363 and 57370.

LCM(57363,57370) = 31 × 191211 × 21 × 51 × 57371
LCM(57363,57370) = 3290915310