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What is the Least Common Multiple of 30561 and 30565?

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 30561 and 30565 is 934096965.

LCM(30561,30565) = 934096965

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Least Common Multiple of 30561 and 30565 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30561 and 30565, than apply into the LCM equation.

GCF(30561,30565) = 1
LCM(30561,30565) = ( 30561 × 30565) / 1
LCM(30561,30565) = 934096965 / 1
LCM(30561,30565) = 934096965

Least Common Multiple (LCM) of 30561 and 30565 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30561 and 30565. First we will calculate the prime factors of 30561 and 30565.

Prime Factorization of 30561

Prime factors of 30561 are 3, 61, 167. Prime factorization of 30561 in exponential form is:

30561 = 31 × 611 × 1671

Prime Factorization of 30565

Prime factors of 30565 are 5, 6113. Prime factorization of 30565 in exponential form is:

30565 = 51 × 61131

Now multiplying the highest exponent prime factors to calculate the LCM of 30561 and 30565.

LCM(30561,30565) = 31 × 611 × 1671 × 51 × 61131
LCM(30561,30565) = 934096965