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What is the Least Common Multiple of 26418 and 26425?

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 26418 and 26425 is 99727950.

LCM(26418,26425) = 99727950

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Least Common Multiple of 26418 and 26425 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26418 and 26425, than apply into the LCM equation.

GCF(26418,26425) = 7
LCM(26418,26425) = ( 26418 × 26425) / 7
LCM(26418,26425) = 698095650 / 7
LCM(26418,26425) = 99727950

Least Common Multiple (LCM) of 26418 and 26425 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26418 and 26425. First we will calculate the prime factors of 26418 and 26425.

Prime Factorization of 26418

Prime factors of 26418 are 2, 3, 7, 17, 37. Prime factorization of 26418 in exponential form is:

26418 = 21 × 31 × 71 × 171 × 371

Prime Factorization of 26425

Prime factors of 26425 are 5, 7, 151. Prime factorization of 26425 in exponential form is:

26425 = 52 × 71 × 1511

Now multiplying the highest exponent prime factors to calculate the LCM of 26418 and 26425.

LCM(26418,26425) = 21 × 31 × 71 × 171 × 371 × 52 × 1511
LCM(26418,26425) = 99727950