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What is the Least Common Multiple of 26445 and 26465?

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 26445 and 26465 is 139973385.

LCM(26445,26465) = 139973385

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Least Common Multiple of 26445 and 26465 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26445 and 26465, than apply into the LCM equation.

GCF(26445,26465) = 5
LCM(26445,26465) = ( 26445 × 26465) / 5
LCM(26445,26465) = 699866925 / 5
LCM(26445,26465) = 139973385

Least Common Multiple (LCM) of 26445 and 26465 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26445 and 26465. First we will calculate the prime factors of 26445 and 26465.

Prime Factorization of 26445

Prime factors of 26445 are 3, 5, 41, 43. Prime factorization of 26445 in exponential form is:

26445 = 31 × 51 × 411 × 431

Prime Factorization of 26465

Prime factors of 26465 are 5, 67, 79. Prime factorization of 26465 in exponential form is:

26465 = 51 × 671 × 791

Now multiplying the highest exponent prime factors to calculate the LCM of 26445 and 26465.

LCM(26445,26465) = 31 × 51 × 411 × 431 × 671 × 791
LCM(26445,26465) = 139973385