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What is the Least Common Multiple of 26698 and 26709?

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 26698 and 26709 is 713076882.

LCM(26698,26709) = 713076882

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Least Common Multiple of 26698 and 26709 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26698 and 26709, than apply into the LCM equation.

GCF(26698,26709) = 1
LCM(26698,26709) = ( 26698 × 26709) / 1
LCM(26698,26709) = 713076882 / 1
LCM(26698,26709) = 713076882

Least Common Multiple (LCM) of 26698 and 26709 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26698 and 26709. First we will calculate the prime factors of 26698 and 26709.

Prime Factorization of 26698

Prime factors of 26698 are 2, 7, 1907. Prime factorization of 26698 in exponential form is:

26698 = 21 × 71 × 19071

Prime Factorization of 26709

Prime factors of 26709 are 3, 29, 307. Prime factorization of 26709 in exponential form is:

26709 = 31 × 291 × 3071

Now multiplying the highest exponent prime factors to calculate the LCM of 26698 and 26709.

LCM(26698,26709) = 21 × 71 × 19071 × 31 × 291 × 3071
LCM(26698,26709) = 713076882