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What is the Least Common Multiple of 26696 and 26705?

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 26696 and 26705 is 712916680.

LCM(26696,26705) = 712916680

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Least Common Multiple of 26696 and 26705 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26696 and 26705, than apply into the LCM equation.

GCF(26696,26705) = 1
LCM(26696,26705) = ( 26696 × 26705) / 1
LCM(26696,26705) = 712916680 / 1
LCM(26696,26705) = 712916680

Least Common Multiple (LCM) of 26696 and 26705 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26696 and 26705. First we will calculate the prime factors of 26696 and 26705.

Prime Factorization of 26696

Prime factors of 26696 are 2, 47, 71. Prime factorization of 26696 in exponential form is:

26696 = 23 × 471 × 711

Prime Factorization of 26705

Prime factors of 26705 are 5, 7, 109. Prime factorization of 26705 in exponential form is:

26705 = 51 × 72 × 1091

Now multiplying the highest exponent prime factors to calculate the LCM of 26696 and 26705.

LCM(26696,26705) = 23 × 471 × 711 × 51 × 72 × 1091
LCM(26696,26705) = 712916680