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What is the Least Common Multiple of 30053 and 30068?

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 30053 and 30068 is 903633604.

LCM(30053,30068) = 903633604

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Least Common Multiple of 30053 and 30068 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30053 and 30068, than apply into the LCM equation.

GCF(30053,30068) = 1
LCM(30053,30068) = ( 30053 × 30068) / 1
LCM(30053,30068) = 903633604 / 1
LCM(30053,30068) = 903633604

Least Common Multiple (LCM) of 30053 and 30068 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30053 and 30068. First we will calculate the prime factors of 30053 and 30068.

Prime Factorization of 30053

Prime factors of 30053 are 41, 733. Prime factorization of 30053 in exponential form is:

30053 = 411 × 7331

Prime Factorization of 30068

Prime factors of 30068 are 2, 7517. Prime factorization of 30068 in exponential form is:

30068 = 22 × 75171

Now multiplying the highest exponent prime factors to calculate the LCM of 30053 and 30068.

LCM(30053,30068) = 411 × 7331 × 22 × 75171
LCM(30053,30068) = 903633604