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What is the Least Common Multiple of 60862 and 60871?

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 60862 and 60871 is 3704730802.

LCM(60862,60871) = 3704730802

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Least Common Multiple of 60862 and 60871 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60862 and 60871, than apply into the LCM equation.

GCF(60862,60871) = 1
LCM(60862,60871) = ( 60862 × 60871) / 1
LCM(60862,60871) = 3704730802 / 1
LCM(60862,60871) = 3704730802

Least Common Multiple (LCM) of 60862 and 60871 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60862 and 60871. First we will calculate the prime factors of 60862 and 60871.

Prime Factorization of 60862

Prime factors of 60862 are 2, 30431. Prime factorization of 60862 in exponential form is:

60862 = 21 × 304311

Prime Factorization of 60871

Prime factors of 60871 are 29, 2099. Prime factorization of 60871 in exponential form is:

60871 = 291 × 20991

Now multiplying the highest exponent prime factors to calculate the LCM of 60862 and 60871.

LCM(60862,60871) = 21 × 304311 × 291 × 20991
LCM(60862,60871) = 3704730802