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What is the Least Common Multiple of 26709 and 26728?

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 26709 and 26728 is 713878152.

LCM(26709,26728) = 713878152

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Least Common Multiple of 26709 and 26728 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26709 and 26728, than apply into the LCM equation.

GCF(26709,26728) = 1
LCM(26709,26728) = ( 26709 × 26728) / 1
LCM(26709,26728) = 713878152 / 1
LCM(26709,26728) = 713878152

Least Common Multiple (LCM) of 26709 and 26728 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26709 and 26728. First we will calculate the prime factors of 26709 and 26728.

Prime Factorization of 26709

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

26709 = 31 × 291 × 3071

Prime Factorization of 26728

Prime factors of 26728 are 2, 13, 257. Prime factorization of 26728 in exponential form is:

26728 = 23 × 131 × 2571

Now multiplying the highest exponent prime factors to calculate the LCM of 26709 and 26728.

LCM(26709,26728) = 31 × 291 × 3071 × 23 × 131 × 2571
LCM(26709,26728) = 713878152