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What is the Least Common Multiple of 26536 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 26536 and 26541 is 704291976.

LCM(26536,26541) = 704291976

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Least Common Multiple of 26536 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 26536 and 26541, than apply into the LCM equation.

GCF(26536,26541) = 1
LCM(26536,26541) = ( 26536 × 26541) / 1
LCM(26536,26541) = 704291976 / 1
LCM(26536,26541) = 704291976

Least Common Multiple (LCM) of 26536 and 26541 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26536 and 26541. First we will calculate the prime factors of 26536 and 26541.

Prime Factorization of 26536

Prime factors of 26536 are 2, 31, 107. Prime factorization of 26536 in exponential form is:

26536 = 23 × 311 × 1071

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 26536 and 26541.

LCM(26536,26541) = 23 × 311 × 1071 × 33 × 9831
LCM(26536,26541) = 704291976