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What is the Least Common Multiple of 1870 and 1887?

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 1870 and 1887 is 207570.

LCM(1870,1887) = 207570

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Least Common Multiple of 1870 and 1887 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1870 and 1887, than apply into the LCM equation.

GCF(1870,1887) = 17
LCM(1870,1887) = ( 1870 × 1887) / 17
LCM(1870,1887) = 3528690 / 17
LCM(1870,1887) = 207570

Least Common Multiple (LCM) of 1870 and 1887 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1870 and 1887. First we will calculate the prime factors of 1870 and 1887.

Prime Factorization of 1870

Prime factors of 1870 are 2, 5, 11, 17. Prime factorization of 1870 in exponential form is:

1870 = 21 × 51 × 111 × 171

Prime Factorization of 1887

Prime factors of 1887 are 3, 17, 37. Prime factorization of 1887 in exponential form is:

1887 = 31 × 171 × 371

Now multiplying the highest exponent prime factors to calculate the LCM of 1870 and 1887.

LCM(1870,1887) = 21 × 51 × 111 × 171 × 31 × 371
LCM(1870,1887) = 207570