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What is the Least Common Multiple of 26039 and 26043?

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 26039 and 26043 is 678133677.

LCM(26039,26043) = 678133677

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Least Common Multiple of 26039 and 26043 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26039 and 26043, than apply into the LCM equation.

GCF(26039,26043) = 1
LCM(26039,26043) = ( 26039 × 26043) / 1
LCM(26039,26043) = 678133677 / 1
LCM(26039,26043) = 678133677

Least Common Multiple (LCM) of 26039 and 26043 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26039 and 26043. First we will calculate the prime factors of 26039 and 26043.

Prime Factorization of 26039

Prime factors of 26039 are 13, 2003. Prime factorization of 26039 in exponential form is:

26039 = 131 × 20031

Prime Factorization of 26043

Prime factors of 26043 are 3, 8681. Prime factorization of 26043 in exponential form is:

26043 = 31 × 86811

Now multiplying the highest exponent prime factors to calculate the LCM of 26039 and 26043.

LCM(26039,26043) = 131 × 20031 × 31 × 86811
LCM(26039,26043) = 678133677