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What is the Least Common Multiple of 30549 and 30553?

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 30549 and 30553 is 933363597.

LCM(30549,30553) = 933363597

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Least Common Multiple of 30549 and 30553 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30549 and 30553, than apply into the LCM equation.

GCF(30549,30553) = 1
LCM(30549,30553) = ( 30549 × 30553) / 1
LCM(30549,30553) = 933363597 / 1
LCM(30549,30553) = 933363597

Least Common Multiple (LCM) of 30549 and 30553 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30549 and 30553. First we will calculate the prime factors of 30549 and 30553.

Prime Factorization of 30549

Prime factors of 30549 are 3, 17, 599. Prime factorization of 30549 in exponential form is:

30549 = 31 × 171 × 5991

Prime Factorization of 30553

Prime factors of 30553 are 30553. Prime factorization of 30553 in exponential form is:

30553 = 305531

Now multiplying the highest exponent prime factors to calculate the LCM of 30549 and 30553.

LCM(30549,30553) = 31 × 171 × 5991 × 305531
LCM(30549,30553) = 933363597