GCF and LCM Calculator Logo

What is the Least Common Multiple of 28692 and 28699?

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 28692 and 28699 is 823431708.

LCM(28692,28699) = 823431708

LCM Calculator and
and

Least Common Multiple of 28692 and 28699 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28692 and 28699, than apply into the LCM equation.

GCF(28692,28699) = 1
LCM(28692,28699) = ( 28692 × 28699) / 1
LCM(28692,28699) = 823431708 / 1
LCM(28692,28699) = 823431708

Least Common Multiple (LCM) of 28692 and 28699 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28692 and 28699. First we will calculate the prime factors of 28692 and 28699.

Prime Factorization of 28692

Prime factors of 28692 are 2, 3, 797. Prime factorization of 28692 in exponential form is:

28692 = 22 × 32 × 7971

Prime Factorization of 28699

Prime factors of 28699 are 11, 2609. Prime factorization of 28699 in exponential form is:

28699 = 111 × 26091

Now multiplying the highest exponent prime factors to calculate the LCM of 28692 and 28699.

LCM(28692,28699) = 22 × 32 × 7971 × 111 × 26091
LCM(28692,28699) = 823431708