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What is the Least Common Multiple of 57003 and 57015?

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 57003 and 57015 is 1083342015.

LCM(57003,57015) = 1083342015

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Least Common Multiple of 57003 and 57015 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57003 and 57015, than apply into the LCM equation.

GCF(57003,57015) = 3
LCM(57003,57015) = ( 57003 × 57015) / 3
LCM(57003,57015) = 3250026045 / 3
LCM(57003,57015) = 1083342015

Least Common Multiple (LCM) of 57003 and 57015 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57003 and 57015. First we will calculate the prime factors of 57003 and 57015.

Prime Factorization of 57003

Prime factors of 57003 are 3, 19001. Prime factorization of 57003 in exponential form is:

57003 = 31 × 190011

Prime Factorization of 57015

Prime factors of 57015 are 3, 5, 7, 181. Prime factorization of 57015 in exponential form is:

57015 = 32 × 51 × 71 × 1811

Now multiplying the highest exponent prime factors to calculate the LCM of 57003 and 57015.

LCM(57003,57015) = 32 × 190011 × 51 × 71 × 1811
LCM(57003,57015) = 1083342015