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What is the Least Common Multiple of 26434 and 26441?

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 26434 and 26441 is 698941394.

LCM(26434,26441) = 698941394

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Least Common Multiple of 26434 and 26441 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26434 and 26441, than apply into the LCM equation.

GCF(26434,26441) = 1
LCM(26434,26441) = ( 26434 × 26441) / 1
LCM(26434,26441) = 698941394 / 1
LCM(26434,26441) = 698941394

Least Common Multiple (LCM) of 26434 and 26441 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26434 and 26441. First we will calculate the prime factors of 26434 and 26441.

Prime Factorization of 26434

Prime factors of 26434 are 2, 13217. Prime factorization of 26434 in exponential form is:

26434 = 21 × 132171

Prime Factorization of 26441

Prime factors of 26441 are 137, 193. Prime factorization of 26441 in exponential form is:

26441 = 1371 × 1931

Now multiplying the highest exponent prime factors to calculate the LCM of 26434 and 26441.

LCM(26434,26441) = 21 × 132171 × 1371 × 1931
LCM(26434,26441) = 698941394