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What is the Least Common Multiple of 15075 and 15086?

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 15075 and 15086 is 227421450.

LCM(15075,15086) = 227421450

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Least Common Multiple of 15075 and 15086 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15075 and 15086, than apply into the LCM equation.

GCF(15075,15086) = 1
LCM(15075,15086) = ( 15075 × 15086) / 1
LCM(15075,15086) = 227421450 / 1
LCM(15075,15086) = 227421450

Least Common Multiple (LCM) of 15075 and 15086 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15075 and 15086. First we will calculate the prime factors of 15075 and 15086.

Prime Factorization of 15075

Prime factors of 15075 are 3, 5, 67. Prime factorization of 15075 in exponential form is:

15075 = 32 × 52 × 671

Prime Factorization of 15086

Prime factors of 15086 are 2, 19, 397. Prime factorization of 15086 in exponential form is:

15086 = 21 × 191 × 3971

Now multiplying the highest exponent prime factors to calculate the LCM of 15075 and 15086.

LCM(15075,15086) = 32 × 52 × 671 × 21 × 191 × 3971
LCM(15075,15086) = 227421450