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What is the Least Common Multiple of 30149 and 30161?

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 30149 and 30161 is 909323989.

LCM(30149,30161) = 909323989

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Least Common Multiple of 30149 and 30161 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30149 and 30161, than apply into the LCM equation.

GCF(30149,30161) = 1
LCM(30149,30161) = ( 30149 × 30161) / 1
LCM(30149,30161) = 909323989 / 1
LCM(30149,30161) = 909323989

Least Common Multiple (LCM) of 30149 and 30161 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30149 and 30161. First we will calculate the prime factors of 30149 and 30161.

Prime Factorization of 30149

Prime factors of 30149 are 7, 59, 73. Prime factorization of 30149 in exponential form is:

30149 = 71 × 591 × 731

Prime Factorization of 30161

Prime factors of 30161 are 30161. Prime factorization of 30161 in exponential form is:

30161 = 301611

Now multiplying the highest exponent prime factors to calculate the LCM of 30149 and 30161.

LCM(30149,30161) = 71 × 591 × 731 × 301611
LCM(30149,30161) = 909323989