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What is the Least Common Multiple of 26530 and 26545?

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 26530 and 26545 is 140847770.

LCM(26530,26545) = 140847770

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Least Common Multiple of 26530 and 26545 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26530 and 26545, than apply into the LCM equation.

GCF(26530,26545) = 5
LCM(26530,26545) = ( 26530 × 26545) / 5
LCM(26530,26545) = 704238850 / 5
LCM(26530,26545) = 140847770

Least Common Multiple (LCM) of 26530 and 26545 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26530 and 26545. First we will calculate the prime factors of 26530 and 26545.

Prime Factorization of 26530

Prime factors of 26530 are 2, 5, 7, 379. Prime factorization of 26530 in exponential form is:

26530 = 21 × 51 × 71 × 3791

Prime Factorization of 26545

Prime factors of 26545 are 5, 5309. Prime factorization of 26545 in exponential form is:

26545 = 51 × 53091

Now multiplying the highest exponent prime factors to calculate the LCM of 26530 and 26545.

LCM(26530,26545) = 21 × 51 × 71 × 3791 × 53091
LCM(26530,26545) = 140847770