GCF and LCM Calculator Logo

What is the Least Common Multiple of 26983 and 26988?

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 26983 and 26988 is 728217204.

LCM(26983,26988) = 728217204

LCM Calculator and
and

Least Common Multiple of 26983 and 26988 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26983 and 26988, than apply into the LCM equation.

GCF(26983,26988) = 1
LCM(26983,26988) = ( 26983 × 26988) / 1
LCM(26983,26988) = 728217204 / 1
LCM(26983,26988) = 728217204

Least Common Multiple (LCM) of 26983 and 26988 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26983 and 26988. First we will calculate the prime factors of 26983 and 26988.

Prime Factorization of 26983

Prime factors of 26983 are 11, 223. Prime factorization of 26983 in exponential form is:

26983 = 112 × 2231

Prime Factorization of 26988

Prime factors of 26988 are 2, 3, 13, 173. Prime factorization of 26988 in exponential form is:

26988 = 22 × 31 × 131 × 1731

Now multiplying the highest exponent prime factors to calculate the LCM of 26983 and 26988.

LCM(26983,26988) = 112 × 2231 × 22 × 31 × 131 × 1731
LCM(26983,26988) = 728217204