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What is the Least Common Multiple of 26562 and 26575?

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 26562 and 26575 is 705885150.

LCM(26562,26575) = 705885150

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Least Common Multiple of 26562 and 26575 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26562 and 26575, than apply into the LCM equation.

GCF(26562,26575) = 1
LCM(26562,26575) = ( 26562 × 26575) / 1
LCM(26562,26575) = 705885150 / 1
LCM(26562,26575) = 705885150

Least Common Multiple (LCM) of 26562 and 26575 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26562 and 26575. First we will calculate the prime factors of 26562 and 26575.

Prime Factorization of 26562

Prime factors of 26562 are 2, 3, 19, 233. Prime factorization of 26562 in exponential form is:

26562 = 21 × 31 × 191 × 2331

Prime Factorization of 26575

Prime factors of 26575 are 5, 1063. Prime factorization of 26575 in exponential form is:

26575 = 52 × 10631

Now multiplying the highest exponent prime factors to calculate the LCM of 26562 and 26575.

LCM(26562,26575) = 21 × 31 × 191 × 2331 × 52 × 10631
LCM(26562,26575) = 705885150