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What is the Least Common Multiple of 30141 and 30160?

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 30141 and 30160 is 909052560.

LCM(30141,30160) = 909052560

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Least Common Multiple of 30141 and 30160 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30141 and 30160, than apply into the LCM equation.

GCF(30141,30160) = 1
LCM(30141,30160) = ( 30141 × 30160) / 1
LCM(30141,30160) = 909052560 / 1
LCM(30141,30160) = 909052560

Least Common Multiple (LCM) of 30141 and 30160 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30141 and 30160. First we will calculate the prime factors of 30141 and 30160.

Prime Factorization of 30141

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

30141 = 32 × 171 × 1971

Prime Factorization of 30160

Prime factors of 30160 are 2, 5, 13, 29. Prime factorization of 30160 in exponential form is:

30160 = 24 × 51 × 131 × 291

Now multiplying the highest exponent prime factors to calculate the LCM of 30141 and 30160.

LCM(30141,30160) = 32 × 171 × 1971 × 24 × 51 × 131 × 291
LCM(30141,30160) = 909052560