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What is the Least Common Multiple of 30118 and 30133?

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 30118 and 30133 is 907545694.

LCM(30118,30133) = 907545694

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Least Common Multiple of 30118 and 30133 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30118 and 30133, than apply into the LCM equation.

GCF(30118,30133) = 1
LCM(30118,30133) = ( 30118 × 30133) / 1
LCM(30118,30133) = 907545694 / 1
LCM(30118,30133) = 907545694

Least Common Multiple (LCM) of 30118 and 30133 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30118 and 30133. First we will calculate the prime factors of 30118 and 30133.

Prime Factorization of 30118

Prime factors of 30118 are 2, 11, 37. Prime factorization of 30118 in exponential form is:

30118 = 21 × 111 × 372

Prime Factorization of 30133

Prime factors of 30133 are 30133. Prime factorization of 30133 in exponential form is:

30133 = 301331

Now multiplying the highest exponent prime factors to calculate the LCM of 30118 and 30133.

LCM(30118,30133) = 21 × 111 × 372 × 301331
LCM(30118,30133) = 907545694