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What is the Least Common Multiple of 30131 and 30141?

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 30131 and 30141 is 908178471.

LCM(30131,30141) = 908178471

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Least Common Multiple of 30131 and 30141 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30131 and 30141, than apply into the LCM equation.

GCF(30131,30141) = 1
LCM(30131,30141) = ( 30131 × 30141) / 1
LCM(30131,30141) = 908178471 / 1
LCM(30131,30141) = 908178471

Least Common Multiple (LCM) of 30131 and 30141 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30131 and 30141. First we will calculate the prime factors of 30131 and 30141.

Prime Factorization of 30131

Prime factors of 30131 are 29, 1039. Prime factorization of 30131 in exponential form is:

30131 = 291 × 10391

Prime Factorization of 30141

Prime factors of 30141 are 3, 17, 197. Prime factorization of 30141 in exponential form is:

30141 = 32 × 171 × 1971

Now multiplying the highest exponent prime factors to calculate the LCM of 30131 and 30141.

LCM(30131,30141) = 291 × 10391 × 32 × 171 × 1971
LCM(30131,30141) = 908178471