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What is the Least Common Multiple of 30171 and 30184?

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 30171 and 30184 is 910681464.

LCM(30171,30184) = 910681464

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Least Common Multiple of 30171 and 30184 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30171 and 30184, than apply into the LCM equation.

GCF(30171,30184) = 1
LCM(30171,30184) = ( 30171 × 30184) / 1
LCM(30171,30184) = 910681464 / 1
LCM(30171,30184) = 910681464

Least Common Multiple (LCM) of 30171 and 30184 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30171 and 30184. First we will calculate the prime factors of 30171 and 30184.

Prime Factorization of 30171

Prime factors of 30171 are 3, 89, 113. Prime factorization of 30171 in exponential form is:

30171 = 31 × 891 × 1131

Prime Factorization of 30184

Prime factors of 30184 are 2, 7, 11. Prime factorization of 30184 in exponential form is:

30184 = 23 × 73 × 111

Now multiplying the highest exponent prime factors to calculate the LCM of 30171 and 30184.

LCM(30171,30184) = 31 × 891 × 1131 × 23 × 73 × 111
LCM(30171,30184) = 910681464