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What is the Least Common Multiple of 30859 and 30874?

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 30859 and 30874 is 952740766.

LCM(30859,30874) = 952740766

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Least Common Multiple of 30859 and 30874 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30859 and 30874, than apply into the LCM equation.

GCF(30859,30874) = 1
LCM(30859,30874) = ( 30859 × 30874) / 1
LCM(30859,30874) = 952740766 / 1
LCM(30859,30874) = 952740766

Least Common Multiple (LCM) of 30859 and 30874 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30859 and 30874. First we will calculate the prime factors of 30859 and 30874.

Prime Factorization of 30859

Prime factors of 30859 are 30859. Prime factorization of 30859 in exponential form is:

30859 = 308591

Prime Factorization of 30874

Prime factors of 30874 are 2, 43, 359. Prime factorization of 30874 in exponential form is:

30874 = 21 × 431 × 3591

Now multiplying the highest exponent prime factors to calculate the LCM of 30859 and 30874.

LCM(30859,30874) = 308591 × 21 × 431 × 3591
LCM(30859,30874) = 952740766