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What is the Least Common Multiple of 30561 and 30573?

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 30573 is 311447151.

LCM(30561,30573) = 311447151

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Least Common Multiple of 30561 and 30573 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 30573, than apply into the LCM equation.

GCF(30561,30573) = 3
LCM(30561,30573) = ( 30561 × 30573) / 3
LCM(30561,30573) = 934341453 / 3
LCM(30561,30573) = 311447151

Least Common Multiple (LCM) of 30561 and 30573 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30561 and 30573. First we will calculate the prime factors of 30561 and 30573.

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 30573

Prime factors of 30573 are 3, 43, 79. Prime factorization of 30573 in exponential form is:

30573 = 32 × 431 × 791

Now multiplying the highest exponent prime factors to calculate the LCM of 30561 and 30573.

LCM(30561,30573) = 32 × 611 × 1671 × 431 × 791
LCM(30561,30573) = 311447151