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What is the Least Common Multiple of 26541 and 26548?

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 26541 and 26548 is 704610468.

LCM(26541,26548) = 704610468

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Least Common Multiple of 26541 and 26548 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26541 and 26548, than apply into the LCM equation.

GCF(26541,26548) = 1
LCM(26541,26548) = ( 26541 × 26548) / 1
LCM(26541,26548) = 704610468 / 1
LCM(26541,26548) = 704610468

Least Common Multiple (LCM) of 26541 and 26548 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26541 and 26548. First we will calculate the prime factors of 26541 and 26548.

Prime Factorization of 26541

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

26541 = 33 × 9831

Prime Factorization of 26548

Prime factors of 26548 are 2, 6637. Prime factorization of 26548 in exponential form is:

26548 = 22 × 66371

Now multiplying the highest exponent prime factors to calculate the LCM of 26541 and 26548.

LCM(26541,26548) = 33 × 9831 × 22 × 66371
LCM(26541,26548) = 704610468