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What is the Least Common Multiple of 30194 and 30201?

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 30194 and 30201 is 911888994.

LCM(30194,30201) = 911888994

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Least Common Multiple of 30194 and 30201 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30194 and 30201, than apply into the LCM equation.

GCF(30194,30201) = 1
LCM(30194,30201) = ( 30194 × 30201) / 1
LCM(30194,30201) = 911888994 / 1
LCM(30194,30201) = 911888994

Least Common Multiple (LCM) of 30194 and 30201 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30194 and 30201. First we will calculate the prime factors of 30194 and 30201.

Prime Factorization of 30194

Prime factors of 30194 are 2, 31, 487. Prime factorization of 30194 in exponential form is:

30194 = 21 × 311 × 4871

Prime Factorization of 30201

Prime factors of 30201 are 3, 10067. Prime factorization of 30201 in exponential form is:

30201 = 31 × 100671

Now multiplying the highest exponent prime factors to calculate the LCM of 30194 and 30201.

LCM(30194,30201) = 21 × 311 × 4871 × 31 × 100671
LCM(30194,30201) = 911888994