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What is the Least Common Multiple of 30526 and 30545?

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 30526 and 30545 is 932416670.

LCM(30526,30545) = 932416670

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Least Common Multiple of 30526 and 30545 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30526 and 30545, than apply into the LCM equation.

GCF(30526,30545) = 1
LCM(30526,30545) = ( 30526 × 30545) / 1
LCM(30526,30545) = 932416670 / 1
LCM(30526,30545) = 932416670

Least Common Multiple (LCM) of 30526 and 30545 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30526 and 30545. First we will calculate the prime factors of 30526 and 30545.

Prime Factorization of 30526

Prime factors of 30526 are 2, 15263. Prime factorization of 30526 in exponential form is:

30526 = 21 × 152631

Prime Factorization of 30545

Prime factors of 30545 are 5, 41, 149. Prime factorization of 30545 in exponential form is:

30545 = 51 × 411 × 1491

Now multiplying the highest exponent prime factors to calculate the LCM of 30526 and 30545.

LCM(30526,30545) = 21 × 152631 × 51 × 411 × 1491
LCM(30526,30545) = 932416670