GCF and LCM Calculator Logo

What is the Least Common Multiple of 28123 and 28135?

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 28123 and 28135 is 791240605.

LCM(28123,28135) = 791240605

LCM Calculator and
and

Least Common Multiple of 28123 and 28135 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28123 and 28135, than apply into the LCM equation.

GCF(28123,28135) = 1
LCM(28123,28135) = ( 28123 × 28135) / 1
LCM(28123,28135) = 791240605 / 1
LCM(28123,28135) = 791240605

Least Common Multiple (LCM) of 28123 and 28135 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28123 and 28135. First we will calculate the prime factors of 28123 and 28135.

Prime Factorization of 28123

Prime factors of 28123 are 28123. Prime factorization of 28123 in exponential form is:

28123 = 281231

Prime Factorization of 28135

Prime factors of 28135 are 5, 17, 331. Prime factorization of 28135 in exponential form is:

28135 = 51 × 171 × 3311

Now multiplying the highest exponent prime factors to calculate the LCM of 28123 and 28135.

LCM(28123,28135) = 281231 × 51 × 171 × 3311
LCM(28123,28135) = 791240605