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What is the Least Common Multiple of 26413 and 26430?

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 26413 and 26430 is 698095590.

LCM(26413,26430) = 698095590

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Least Common Multiple of 26413 and 26430 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26413 and 26430, than apply into the LCM equation.

GCF(26413,26430) = 1
LCM(26413,26430) = ( 26413 × 26430) / 1
LCM(26413,26430) = 698095590 / 1
LCM(26413,26430) = 698095590

Least Common Multiple (LCM) of 26413 and 26430 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26413 and 26430. First we will calculate the prime factors of 26413 and 26430.

Prime Factorization of 26413

Prime factors of 26413 are 61, 433. Prime factorization of 26413 in exponential form is:

26413 = 611 × 4331

Prime Factorization of 26430

Prime factors of 26430 are 2, 3, 5, 881. Prime factorization of 26430 in exponential form is:

26430 = 21 × 31 × 51 × 8811

Now multiplying the highest exponent prime factors to calculate the LCM of 26413 and 26430.

LCM(26413,26430) = 611 × 4331 × 21 × 31 × 51 × 8811
LCM(26413,26430) = 698095590