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What is the Least Common Multiple of 26595 and 26611?

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 26595 and 26611 is 707719545.

LCM(26595,26611) = 707719545

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Least Common Multiple of 26595 and 26611 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26595 and 26611, than apply into the LCM equation.

GCF(26595,26611) = 1
LCM(26595,26611) = ( 26595 × 26611) / 1
LCM(26595,26611) = 707719545 / 1
LCM(26595,26611) = 707719545

Least Common Multiple (LCM) of 26595 and 26611 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26595 and 26611. First we will calculate the prime factors of 26595 and 26611.

Prime Factorization of 26595

Prime factors of 26595 are 3, 5, 197. Prime factorization of 26595 in exponential form is:

26595 = 33 × 51 × 1971

Prime Factorization of 26611

Prime factors of 26611 are 13, 23, 89. Prime factorization of 26611 in exponential form is:

26611 = 131 × 231 × 891

Now multiplying the highest exponent prime factors to calculate the LCM of 26595 and 26611.

LCM(26595,26611) = 33 × 51 × 1971 × 131 × 231 × 891
LCM(26595,26611) = 707719545