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What is the Least Common Multiple of 26053 and 26059?

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 26053 and 26059 is 678915127.

LCM(26053,26059) = 678915127

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Least Common Multiple of 26053 and 26059 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26053 and 26059, than apply into the LCM equation.

GCF(26053,26059) = 1
LCM(26053,26059) = ( 26053 × 26059) / 1
LCM(26053,26059) = 678915127 / 1
LCM(26053,26059) = 678915127

Least Common Multiple (LCM) of 26053 and 26059 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26053 and 26059. First we will calculate the prime factors of 26053 and 26059.

Prime Factorization of 26053

Prime factors of 26053 are 26053. Prime factorization of 26053 in exponential form is:

26053 = 260531

Prime Factorization of 26059

Prime factors of 26059 are 11, 23, 103. Prime factorization of 26059 in exponential form is:

26059 = 111 × 231 × 1031

Now multiplying the highest exponent prime factors to calculate the LCM of 26053 and 26059.

LCM(26053,26059) = 260531 × 111 × 231 × 1031
LCM(26053,26059) = 678915127