GCF and LCM Calculator Logo

What is the Least Common Multiple of 27850 and 27870?

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 27850 and 27870 is 77617950.

LCM(27850,27870) = 77617950

LCM Calculator and
and

Least Common Multiple of 27850 and 27870 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27850 and 27870, than apply into the LCM equation.

GCF(27850,27870) = 10
LCM(27850,27870) = ( 27850 × 27870) / 10
LCM(27850,27870) = 776179500 / 10
LCM(27850,27870) = 77617950

Least Common Multiple (LCM) of 27850 and 27870 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27850 and 27870. First we will calculate the prime factors of 27850 and 27870.

Prime Factorization of 27850

Prime factors of 27850 are 2, 5, 557. Prime factorization of 27850 in exponential form is:

27850 = 21 × 52 × 5571

Prime Factorization of 27870

Prime factors of 27870 are 2, 3, 5, 929. Prime factorization of 27870 in exponential form is:

27870 = 21 × 31 × 51 × 9291

Now multiplying the highest exponent prime factors to calculate the LCM of 27850 and 27870.

LCM(27850,27870) = 21 × 52 × 5571 × 31 × 9291
LCM(27850,27870) = 77617950