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What is the Least Common Multiple of 17875 and 17892?

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 17875 and 17892 is 319819500.

LCM(17875,17892) = 319819500

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Least Common Multiple of 17875 and 17892 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17875 and 17892, than apply into the LCM equation.

GCF(17875,17892) = 1
LCM(17875,17892) = ( 17875 × 17892) / 1
LCM(17875,17892) = 319819500 / 1
LCM(17875,17892) = 319819500

Least Common Multiple (LCM) of 17875 and 17892 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17875 and 17892. First we will calculate the prime factors of 17875 and 17892.

Prime Factorization of 17875

Prime factors of 17875 are 5, 11, 13. Prime factorization of 17875 in exponential form is:

17875 = 53 × 111 × 131

Prime Factorization of 17892

Prime factors of 17892 are 2, 3, 7, 71. Prime factorization of 17892 in exponential form is:

17892 = 22 × 32 × 71 × 711

Now multiplying the highest exponent prime factors to calculate the LCM of 17875 and 17892.

LCM(17875,17892) = 53 × 111 × 131 × 22 × 32 × 71 × 711
LCM(17875,17892) = 319819500