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What is the Least Common Multiple of 30529 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 30529 and 30545 is 932508305.

LCM(30529,30545) = 932508305

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Least Common Multiple of 30529 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 30529 and 30545, than apply into the LCM equation.

GCF(30529,30545) = 1
LCM(30529,30545) = ( 30529 × 30545) / 1
LCM(30529,30545) = 932508305 / 1
LCM(30529,30545) = 932508305

Least Common Multiple (LCM) of 30529 and 30545 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30529 and 30545. First we will calculate the prime factors of 30529 and 30545.

Prime Factorization of 30529

Prime factors of 30529 are 30529. Prime factorization of 30529 in exponential form is:

30529 = 305291

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 30529 and 30545.

LCM(30529,30545) = 305291 × 51 × 411 × 1491
LCM(30529,30545) = 932508305