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What is the Least Common Multiple of 18130 and 18135?

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 18130 and 18135 is 65757510.

LCM(18130,18135) = 65757510

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Least Common Multiple of 18130 and 18135 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18130 and 18135, than apply into the LCM equation.

GCF(18130,18135) = 5
LCM(18130,18135) = ( 18130 × 18135) / 5
LCM(18130,18135) = 328787550 / 5
LCM(18130,18135) = 65757510

Least Common Multiple (LCM) of 18130 and 18135 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18130 and 18135. First we will calculate the prime factors of 18130 and 18135.

Prime Factorization of 18130

Prime factors of 18130 are 2, 5, 7, 37. Prime factorization of 18130 in exponential form is:

18130 = 21 × 51 × 72 × 371

Prime Factorization of 18135

Prime factors of 18135 are 3, 5, 13, 31. Prime factorization of 18135 in exponential form is:

18135 = 32 × 51 × 131 × 311

Now multiplying the highest exponent prime factors to calculate the LCM of 18130 and 18135.

LCM(18130,18135) = 21 × 51 × 72 × 371 × 32 × 131 × 311
LCM(18130,18135) = 65757510