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What is the Least Common Multiple of 25996 and 26004?

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 25996 and 26004 is 168999996.

LCM(25996,26004) = 168999996

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Least Common Multiple of 25996 and 26004 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25996 and 26004, than apply into the LCM equation.

GCF(25996,26004) = 4
LCM(25996,26004) = ( 25996 × 26004) / 4
LCM(25996,26004) = 675999984 / 4
LCM(25996,26004) = 168999996

Least Common Multiple (LCM) of 25996 and 26004 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25996 and 26004. First we will calculate the prime factors of 25996 and 26004.

Prime Factorization of 25996

Prime factors of 25996 are 2, 67, 97. Prime factorization of 25996 in exponential form is:

25996 = 22 × 671 × 971

Prime Factorization of 26004

Prime factors of 26004 are 2, 3, 11, 197. Prime factorization of 26004 in exponential form is:

26004 = 22 × 31 × 111 × 1971

Now multiplying the highest exponent prime factors to calculate the LCM of 25996 and 26004.

LCM(25996,26004) = 22 × 671 × 971 × 31 × 111 × 1971
LCM(25996,26004) = 168999996