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What is the Least Common Multiple of 57060 and 57074?

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 57060 and 57074 is 1628321220.

LCM(57060,57074) = 1628321220

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Least Common Multiple of 57060 and 57074 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57060 and 57074, than apply into the LCM equation.

GCF(57060,57074) = 2
LCM(57060,57074) = ( 57060 × 57074) / 2
LCM(57060,57074) = 3256642440 / 2
LCM(57060,57074) = 1628321220

Least Common Multiple (LCM) of 57060 and 57074 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57060 and 57074. First we will calculate the prime factors of 57060 and 57074.

Prime Factorization of 57060

Prime factors of 57060 are 2, 3, 5, 317. Prime factorization of 57060 in exponential form is:

57060 = 22 × 32 × 51 × 3171

Prime Factorization of 57074

Prime factors of 57074 are 2, 28537. Prime factorization of 57074 in exponential form is:

57074 = 21 × 285371

Now multiplying the highest exponent prime factors to calculate the LCM of 57060 and 57074.

LCM(57060,57074) = 22 × 32 × 51 × 3171 × 285371
LCM(57060,57074) = 1628321220