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What is the Least Common Multiple of 26025 and 26035?

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 26025 and 26035 is 135512175.

LCM(26025,26035) = 135512175

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Least Common Multiple of 26025 and 26035 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26025 and 26035, than apply into the LCM equation.

GCF(26025,26035) = 5
LCM(26025,26035) = ( 26025 × 26035) / 5
LCM(26025,26035) = 677560875 / 5
LCM(26025,26035) = 135512175

Least Common Multiple (LCM) of 26025 and 26035 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26025 and 26035. First we will calculate the prime factors of 26025 and 26035.

Prime Factorization of 26025

Prime factors of 26025 are 3, 5, 347. Prime factorization of 26025 in exponential form is:

26025 = 31 × 52 × 3471

Prime Factorization of 26035

Prime factors of 26035 are 5, 41, 127. Prime factorization of 26035 in exponential form is:

26035 = 51 × 411 × 1271

Now multiplying the highest exponent prime factors to calculate the LCM of 26025 and 26035.

LCM(26025,26035) = 31 × 52 × 3471 × 411 × 1271
LCM(26025,26035) = 135512175