GCF and LCM Calculator Logo

What is the Least Common Multiple of 56450 and 56460?

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 56450 and 56460 is 318716700.

LCM(56450,56460) = 318716700

LCM Calculator and
and

Least Common Multiple of 56450 and 56460 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56450 and 56460, than apply into the LCM equation.

GCF(56450,56460) = 10
LCM(56450,56460) = ( 56450 × 56460) / 10
LCM(56450,56460) = 3187167000 / 10
LCM(56450,56460) = 318716700

Least Common Multiple (LCM) of 56450 and 56460 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56450 and 56460. First we will calculate the prime factors of 56450 and 56460.

Prime Factorization of 56450

Prime factors of 56450 are 2, 5, 1129. Prime factorization of 56450 in exponential form is:

56450 = 21 × 52 × 11291

Prime Factorization of 56460

Prime factors of 56460 are 2, 3, 5, 941. Prime factorization of 56460 in exponential form is:

56460 = 22 × 31 × 51 × 9411

Now multiplying the highest exponent prime factors to calculate the LCM of 56450 and 56460.

LCM(56450,56460) = 22 × 52 × 11291 × 31 × 9411
LCM(56450,56460) = 318716700