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What is the Least Common Multiple of 26288 and 26307?

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 26288 and 26307 is 691558416.

LCM(26288,26307) = 691558416

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Least Common Multiple of 26288 and 26307 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26288 and 26307, than apply into the LCM equation.

GCF(26288,26307) = 1
LCM(26288,26307) = ( 26288 × 26307) / 1
LCM(26288,26307) = 691558416 / 1
LCM(26288,26307) = 691558416

Least Common Multiple (LCM) of 26288 and 26307 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26288 and 26307. First we will calculate the prime factors of 26288 and 26307.

Prime Factorization of 26288

Prime factors of 26288 are 2, 31, 53. Prime factorization of 26288 in exponential form is:

26288 = 24 × 311 × 531

Prime Factorization of 26307

Prime factors of 26307 are 3, 37, 79. Prime factorization of 26307 in exponential form is:

26307 = 32 × 371 × 791

Now multiplying the highest exponent prime factors to calculate the LCM of 26288 and 26307.

LCM(26288,26307) = 24 × 311 × 531 × 32 × 371 × 791
LCM(26288,26307) = 691558416