GCF and LCM Calculator Logo

What is the Least Common Multiple of 57254 and 57263?

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 57254 and 57263 is 3278535802.

LCM(57254,57263) = 3278535802

LCM Calculator and
and

Least Common Multiple of 57254 and 57263 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57254 and 57263, than apply into the LCM equation.

GCF(57254,57263) = 1
LCM(57254,57263) = ( 57254 × 57263) / 1
LCM(57254,57263) = 3278535802 / 1
LCM(57254,57263) = 3278535802

Least Common Multiple (LCM) of 57254 and 57263 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57254 and 57263. First we will calculate the prime factors of 57254 and 57263.

Prime Factorization of 57254

Prime factors of 57254 are 2, 28627. Prime factorization of 57254 in exponential form is:

57254 = 21 × 286271

Prime Factorization of 57263

Prime factors of 57263 are 173, 331. Prime factorization of 57263 in exponential form is:

57263 = 1731 × 3311

Now multiplying the highest exponent prime factors to calculate the LCM of 57254 and 57263.

LCM(57254,57263) = 21 × 286271 × 1731 × 3311
LCM(57254,57263) = 3278535802