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What is the Least Common Multiple of 30874 and 30892?

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 30874 and 30892 is 476879804.

LCM(30874,30892) = 476879804

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Least Common Multiple of 30874 and 30892 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30874 and 30892, than apply into the LCM equation.

GCF(30874,30892) = 2
LCM(30874,30892) = ( 30874 × 30892) / 2
LCM(30874,30892) = 953759608 / 2
LCM(30874,30892) = 476879804

Least Common Multiple (LCM) of 30874 and 30892 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30874 and 30892. First we will calculate the prime factors of 30874 and 30892.

Prime Factorization of 30874

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

30874 = 21 × 431 × 3591

Prime Factorization of 30892

Prime factors of 30892 are 2, 7723. Prime factorization of 30892 in exponential form is:

30892 = 22 × 77231

Now multiplying the highest exponent prime factors to calculate the LCM of 30874 and 30892.

LCM(30874,30892) = 22 × 431 × 3591 × 77231
LCM(30874,30892) = 476879804