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What is the Least Common Multiple of 26236 and 26240?

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 26236 and 26240 is 172108160.

LCM(26236,26240) = 172108160

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Least Common Multiple of 26236 and 26240 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26236 and 26240, than apply into the LCM equation.

GCF(26236,26240) = 4
LCM(26236,26240) = ( 26236 × 26240) / 4
LCM(26236,26240) = 688432640 / 4
LCM(26236,26240) = 172108160

Least Common Multiple (LCM) of 26236 and 26240 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26236 and 26240. First we will calculate the prime factors of 26236 and 26240.

Prime Factorization of 26236

Prime factors of 26236 are 2, 7, 937. Prime factorization of 26236 in exponential form is:

26236 = 22 × 71 × 9371

Prime Factorization of 26240

Prime factors of 26240 are 2, 5, 41. Prime factorization of 26240 in exponential form is:

26240 = 27 × 51 × 411

Now multiplying the highest exponent prime factors to calculate the LCM of 26236 and 26240.

LCM(26236,26240) = 27 × 71 × 9371 × 51 × 411
LCM(26236,26240) = 172108160