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What is the Least Common Multiple of 1867 and 1875?

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 1867 and 1875 is 3500625.

LCM(1867,1875) = 3500625

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Least Common Multiple of 1867 and 1875 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1867 and 1875, than apply into the LCM equation.

GCF(1867,1875) = 1
LCM(1867,1875) = ( 1867 × 1875) / 1
LCM(1867,1875) = 3500625 / 1
LCM(1867,1875) = 3500625

Least Common Multiple (LCM) of 1867 and 1875 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1867 and 1875. First we will calculate the prime factors of 1867 and 1875.

Prime Factorization of 1867

Prime factors of 1867 are 1867. Prime factorization of 1867 in exponential form is:

1867 = 18671

Prime Factorization of 1875

Prime factors of 1875 are 3, 5. Prime factorization of 1875 in exponential form is:

1875 = 31 × 54

Now multiplying the highest exponent prime factors to calculate the LCM of 1867 and 1875.

LCM(1867,1875) = 18671 × 31 × 54
LCM(1867,1875) = 3500625