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What is the Least Common Multiple of 25988 and 26006?

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 25988 and 26006 is 337921964.

LCM(25988,26006) = 337921964

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Least Common Multiple of 25988 and 26006 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25988 and 26006, than apply into the LCM equation.

GCF(25988,26006) = 2
LCM(25988,26006) = ( 25988 × 26006) / 2
LCM(25988,26006) = 675843928 / 2
LCM(25988,26006) = 337921964

Least Common Multiple (LCM) of 25988 and 26006 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25988 and 26006. First we will calculate the prime factors of 25988 and 26006.

Prime Factorization of 25988

Prime factors of 25988 are 2, 73, 89. Prime factorization of 25988 in exponential form is:

25988 = 22 × 731 × 891

Prime Factorization of 26006

Prime factors of 26006 are 2, 13003. Prime factorization of 26006 in exponential form is:

26006 = 21 × 130031

Now multiplying the highest exponent prime factors to calculate the LCM of 25988 and 26006.

LCM(25988,26006) = 22 × 731 × 891 × 130031
LCM(25988,26006) = 337921964