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What is the Least Common Multiple of 26552 and 26563?

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 26563 is 705300776.

LCM(26552,26563) = 705300776

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Least Common Multiple of 26552 and 26563 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 26563, than apply into the LCM equation.

GCF(26552,26563) = 1
LCM(26552,26563) = ( 26552 × 26563) / 1
LCM(26552,26563) = 705300776 / 1
LCM(26552,26563) = 705300776

Least Common Multiple (LCM) of 26552 and 26563 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26552 and 26563. First we will calculate the prime factors of 26552 and 26563.

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 26563

Prime factors of 26563 are 101, 263. Prime factorization of 26563 in exponential form is:

26563 = 1011 × 2631

Now multiplying the highest exponent prime factors to calculate the LCM of 26552 and 26563.

LCM(26552,26563) = 23 × 33191 × 1011 × 2631
LCM(26552,26563) = 705300776