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What is the Least Common Multiple of 59861 and 59871?

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 59861 and 59871 is 3583937931.

LCM(59861,59871) = 3583937931

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Least Common Multiple of 59861 and 59871 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59861 and 59871, than apply into the LCM equation.

GCF(59861,59871) = 1
LCM(59861,59871) = ( 59861 × 59871) / 1
LCM(59861,59871) = 3583937931 / 1
LCM(59861,59871) = 3583937931

Least Common Multiple (LCM) of 59861 and 59871 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59861 and 59871. First we will calculate the prime factors of 59861 and 59871.

Prime Factorization of 59861

Prime factors of 59861 are 31, 1931. Prime factorization of 59861 in exponential form is:

59861 = 311 × 19311

Prime Factorization of 59871

Prime factors of 59871 are 3, 7, 2851. Prime factorization of 59871 in exponential form is:

59871 = 31 × 71 × 28511

Now multiplying the highest exponent prime factors to calculate the LCM of 59861 and 59871.

LCM(59861,59871) = 311 × 19311 × 31 × 71 × 28511
LCM(59861,59871) = 3583937931