GCF and LCM Calculator Logo

What is the Least Common Multiple of 26681 and 26685?

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 26681 and 26685 is 711982485.

LCM(26681,26685) = 711982485

LCM Calculator and
and

Least Common Multiple of 26681 and 26685 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26681 and 26685, than apply into the LCM equation.

GCF(26681,26685) = 1
LCM(26681,26685) = ( 26681 × 26685) / 1
LCM(26681,26685) = 711982485 / 1
LCM(26681,26685) = 711982485

Least Common Multiple (LCM) of 26681 and 26685 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26681 and 26685. First we will calculate the prime factors of 26681 and 26685.

Prime Factorization of 26681

Prime factors of 26681 are 26681. Prime factorization of 26681 in exponential form is:

26681 = 266811

Prime Factorization of 26685

Prime factors of 26685 are 3, 5, 593. Prime factorization of 26685 in exponential form is:

26685 = 32 × 51 × 5931

Now multiplying the highest exponent prime factors to calculate the LCM of 26681 and 26685.

LCM(26681,26685) = 266811 × 32 × 51 × 5931
LCM(26681,26685) = 711982485