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What is the Least Common Multiple of 26552 and 26561?

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 26552 and 26561 is 705247672.

LCM(26552,26561) = 705247672

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Least Common Multiple of 26552 and 26561 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26552 and 26561, than apply into the LCM equation.

GCF(26552,26561) = 1
LCM(26552,26561) = ( 26552 × 26561) / 1
LCM(26552,26561) = 705247672 / 1
LCM(26552,26561) = 705247672

Least Common Multiple (LCM) of 26552 and 26561 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26552 and 26561. First we will calculate the prime factors of 26552 and 26561.

Prime Factorization of 26552

Prime factors of 26552 are 2, 3319. Prime factorization of 26552 in exponential form is:

26552 = 23 × 33191

Prime Factorization of 26561

Prime factors of 26561 are 26561. Prime factorization of 26561 in exponential form is:

26561 = 265611

Now multiplying the highest exponent prime factors to calculate the LCM of 26552 and 26561.

LCM(26552,26561) = 23 × 33191 × 265611
LCM(26552,26561) = 705247672