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What is the Least Common Multiple of 26464 and 26475?

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 26464 and 26475 is 700634400.

LCM(26464,26475) = 700634400

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Least Common Multiple of 26464 and 26475 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26464 and 26475, than apply into the LCM equation.

GCF(26464,26475) = 1
LCM(26464,26475) = ( 26464 × 26475) / 1
LCM(26464,26475) = 700634400 / 1
LCM(26464,26475) = 700634400

Least Common Multiple (LCM) of 26464 and 26475 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26464 and 26475. First we will calculate the prime factors of 26464 and 26475.

Prime Factorization of 26464

Prime factors of 26464 are 2, 827. Prime factorization of 26464 in exponential form is:

26464 = 25 × 8271

Prime Factorization of 26475

Prime factors of 26475 are 3, 5, 353. Prime factorization of 26475 in exponential form is:

26475 = 31 × 52 × 3531

Now multiplying the highest exponent prime factors to calculate the LCM of 26464 and 26475.

LCM(26464,26475) = 25 × 8271 × 31 × 52 × 3531
LCM(26464,26475) = 700634400