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What is the Least Common Multiple of 26467 and 26474?

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 26467 and 26474 is 100098194.

LCM(26467,26474) = 100098194

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Least Common Multiple of 26467 and 26474 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26467 and 26474, than apply into the LCM equation.

GCF(26467,26474) = 7
LCM(26467,26474) = ( 26467 × 26474) / 7
LCM(26467,26474) = 700687358 / 7
LCM(26467,26474) = 100098194

Least Common Multiple (LCM) of 26467 and 26474 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26467 and 26474. First we will calculate the prime factors of 26467 and 26474.

Prime Factorization of 26467

Prime factors of 26467 are 7, 19, 199. Prime factorization of 26467 in exponential form is:

26467 = 71 × 191 × 1991

Prime Factorization of 26474

Prime factors of 26474 are 2, 7, 31, 61. Prime factorization of 26474 in exponential form is:

26474 = 21 × 71 × 311 × 611

Now multiplying the highest exponent prime factors to calculate the LCM of 26467 and 26474.

LCM(26467,26474) = 71 × 191 × 1991 × 21 × 311 × 611
LCM(26467,26474) = 100098194