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What is the Least Common Multiple of 6135 and 6150?

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 6135 and 6150 is 2515350.

LCM(6135,6150) = 2515350

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Least Common Multiple of 6135 and 6150 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6135 and 6150, than apply into the LCM equation.

GCF(6135,6150) = 15
LCM(6135,6150) = ( 6135 × 6150) / 15
LCM(6135,6150) = 37730250 / 15
LCM(6135,6150) = 2515350

Least Common Multiple (LCM) of 6135 and 6150 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6135 and 6150. First we will calculate the prime factors of 6135 and 6150.

Prime Factorization of 6135

Prime factors of 6135 are 3, 5, 409. Prime factorization of 6135 in exponential form is:

6135 = 31 × 51 × 4091

Prime Factorization of 6150

Prime factors of 6150 are 2, 3, 5, 41. Prime factorization of 6150 in exponential form is:

6150 = 21 × 31 × 52 × 411

Now multiplying the highest exponent prime factors to calculate the LCM of 6135 and 6150.

LCM(6135,6150) = 31 × 52 × 4091 × 21 × 411
LCM(6135,6150) = 2515350