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What is the Least Common Multiple of 26706 and 26726?

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 26706 and 26726 is 356872278.

LCM(26706,26726) = 356872278

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Least Common Multiple of 26706 and 26726 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26706 and 26726, than apply into the LCM equation.

GCF(26706,26726) = 2
LCM(26706,26726) = ( 26706 × 26726) / 2
LCM(26706,26726) = 713744556 / 2
LCM(26706,26726) = 356872278

Least Common Multiple (LCM) of 26706 and 26726 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26706 and 26726. First we will calculate the prime factors of 26706 and 26726.

Prime Factorization of 26706

Prime factors of 26706 are 2, 3, 4451. Prime factorization of 26706 in exponential form is:

26706 = 21 × 31 × 44511

Prime Factorization of 26726

Prime factors of 26726 are 2, 7, 23, 83. Prime factorization of 26726 in exponential form is:

26726 = 21 × 71 × 231 × 831

Now multiplying the highest exponent prime factors to calculate the LCM of 26706 and 26726.

LCM(26706,26726) = 21 × 31 × 44511 × 71 × 231 × 831
LCM(26706,26726) = 356872278