GCF and LCM Calculator Logo

What is the Least Common Multiple of 28883 and 28902?

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 28883 and 28902 is 834776466.

LCM(28883,28902) = 834776466

LCM Calculator and
and

Least Common Multiple of 28883 and 28902 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28883 and 28902, than apply into the LCM equation.

GCF(28883,28902) = 1
LCM(28883,28902) = ( 28883 × 28902) / 1
LCM(28883,28902) = 834776466 / 1
LCM(28883,28902) = 834776466

Least Common Multiple (LCM) of 28883 and 28902 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28883 and 28902. First we will calculate the prime factors of 28883 and 28902.

Prime Factorization of 28883

Prime factors of 28883 are 17, 1699. Prime factorization of 28883 in exponential form is:

28883 = 171 × 16991

Prime Factorization of 28902

Prime factors of 28902 are 2, 3, 4817. Prime factorization of 28902 in exponential form is:

28902 = 21 × 31 × 48171

Now multiplying the highest exponent prime factors to calculate the LCM of 28883 and 28902.

LCM(28883,28902) = 171 × 16991 × 21 × 31 × 48171
LCM(28883,28902) = 834776466