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What is the Least Common Multiple of 26598 and 26617?

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 26598 and 26617 is 707958966.

LCM(26598,26617) = 707958966

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Least Common Multiple of 26598 and 26617 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26598 and 26617, than apply into the LCM equation.

GCF(26598,26617) = 1
LCM(26598,26617) = ( 26598 × 26617) / 1
LCM(26598,26617) = 707958966 / 1
LCM(26598,26617) = 707958966

Least Common Multiple (LCM) of 26598 and 26617 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26598 and 26617. First we will calculate the prime factors of 26598 and 26617.

Prime Factorization of 26598

Prime factors of 26598 are 2, 3, 11, 13, 31. Prime factorization of 26598 in exponential form is:

26598 = 21 × 31 × 111 × 131 × 311

Prime Factorization of 26617

Prime factors of 26617 are 43, 619. Prime factorization of 26617 in exponential form is:

26617 = 431 × 6191

Now multiplying the highest exponent prime factors to calculate the LCM of 26598 and 26617.

LCM(26598,26617) = 21 × 31 × 111 × 131 × 311 × 431 × 6191
LCM(26598,26617) = 707958966