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What is the Least Common Multiple of 26724 and 26734?

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 26724 and 26734 is 357219708.

LCM(26724,26734) = 357219708

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Least Common Multiple of 26724 and 26734 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26724 and 26734, than apply into the LCM equation.

GCF(26724,26734) = 2
LCM(26724,26734) = ( 26724 × 26734) / 2
LCM(26724,26734) = 714439416 / 2
LCM(26724,26734) = 357219708

Least Common Multiple (LCM) of 26724 and 26734 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26724 and 26734. First we will calculate the prime factors of 26724 and 26734.

Prime Factorization of 26724

Prime factors of 26724 are 2, 3, 17, 131. Prime factorization of 26724 in exponential form is:

26724 = 22 × 31 × 171 × 1311

Prime Factorization of 26734

Prime factors of 26734 are 2, 13367. Prime factorization of 26734 in exponential form is:

26734 = 21 × 133671

Now multiplying the highest exponent prime factors to calculate the LCM of 26724 and 26734.

LCM(26724,26734) = 22 × 31 × 171 × 1311 × 133671
LCM(26724,26734) = 357219708