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What is the Least Common Multiple of 57302 and 57307?

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 57302 and 57307 is 3283805714.

LCM(57302,57307) = 3283805714

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Least Common Multiple of 57302 and 57307 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57302 and 57307, than apply into the LCM equation.

GCF(57302,57307) = 1
LCM(57302,57307) = ( 57302 × 57307) / 1
LCM(57302,57307) = 3283805714 / 1
LCM(57302,57307) = 3283805714

Least Common Multiple (LCM) of 57302 and 57307 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57302 and 57307. First we will calculate the prime factors of 57302 and 57307.

Prime Factorization of 57302

Prime factors of 57302 are 2, 7, 4093. Prime factorization of 57302 in exponential form is:

57302 = 21 × 71 × 40931

Prime Factorization of 57307

Prime factors of 57307 are 17, 3371. Prime factorization of 57307 in exponential form is:

57307 = 171 × 33711

Now multiplying the highest exponent prime factors to calculate the LCM of 57302 and 57307.

LCM(57302,57307) = 21 × 71 × 40931 × 171 × 33711
LCM(57302,57307) = 3283805714