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What is the Least Common Multiple of 57290 and 57306?

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 57290 and 57306 is 1641530370.

LCM(57290,57306) = 1641530370

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Least Common Multiple of 57290 and 57306 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57290 and 57306, than apply into the LCM equation.

GCF(57290,57306) = 2
LCM(57290,57306) = ( 57290 × 57306) / 2
LCM(57290,57306) = 3283060740 / 2
LCM(57290,57306) = 1641530370

Least Common Multiple (LCM) of 57290 and 57306 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57290 and 57306. First we will calculate the prime factors of 57290 and 57306.

Prime Factorization of 57290

Prime factors of 57290 are 2, 5, 17, 337. Prime factorization of 57290 in exponential form is:

57290 = 21 × 51 × 171 × 3371

Prime Factorization of 57306

Prime factors of 57306 are 2, 3, 9551. Prime factorization of 57306 in exponential form is:

57306 = 21 × 31 × 95511

Now multiplying the highest exponent prime factors to calculate the LCM of 57290 and 57306.

LCM(57290,57306) = 21 × 51 × 171 × 3371 × 31 × 95511
LCM(57290,57306) = 1641530370