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What is the Least Common Multiple of 26537 and 26541?

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 26537 and 26541 is 704318517.

LCM(26537,26541) = 704318517

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Least Common Multiple of 26537 and 26541 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26537 and 26541, than apply into the LCM equation.

GCF(26537,26541) = 1
LCM(26537,26541) = ( 26537 × 26541) / 1
LCM(26537,26541) = 704318517 / 1
LCM(26537,26541) = 704318517

Least Common Multiple (LCM) of 26537 and 26541 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26537 and 26541. First we will calculate the prime factors of 26537 and 26541.

Prime Factorization of 26537

Prime factors of 26537 are 7, 17, 223. Prime factorization of 26537 in exponential form is:

26537 = 71 × 171 × 2231

Prime Factorization of 26541

Prime factors of 26541 are 3, 983. Prime factorization of 26541 in exponential form is:

26541 = 33 × 9831

Now multiplying the highest exponent prime factors to calculate the LCM of 26537 and 26541.

LCM(26537,26541) = 71 × 171 × 2231 × 33 × 9831
LCM(26537,26541) = 704318517