GCF and LCM Calculator Logo

What is the Least Common Multiple of 6250 and 6256?

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 6250 and 6256 is 19550000.

LCM(6250,6256) = 19550000

LCM Calculator and
and

Least Common Multiple of 6250 and 6256 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6250 and 6256, than apply into the LCM equation.

GCF(6250,6256) = 2
LCM(6250,6256) = ( 6250 × 6256) / 2
LCM(6250,6256) = 39100000 / 2
LCM(6250,6256) = 19550000

Least Common Multiple (LCM) of 6250 and 6256 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6250 and 6256. First we will calculate the prime factors of 6250 and 6256.

Prime Factorization of 6250

Prime factors of 6250 are 2, 5. Prime factorization of 6250 in exponential form is:

6250 = 21 × 55

Prime Factorization of 6256

Prime factors of 6256 are 2, 17, 23. Prime factorization of 6256 in exponential form is:

6256 = 24 × 171 × 231

Now multiplying the highest exponent prime factors to calculate the LCM of 6250 and 6256.

LCM(6250,6256) = 24 × 55 × 171 × 231
LCM(6250,6256) = 19550000