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What is the Least Common Multiple of 1870 and 1884?

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 1884 is 1761540.

LCM(1870,1884) = 1761540

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Least Common Multiple of 1870 and 1884 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 1884, than apply into the LCM equation.

GCF(1870,1884) = 2
LCM(1870,1884) = ( 1870 × 1884) / 2
LCM(1870,1884) = 3523080 / 2
LCM(1870,1884) = 1761540

Least Common Multiple (LCM) of 1870 and 1884 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1870 and 1884. First we will calculate the prime factors of 1870 and 1884.

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 1884

Prime factors of 1884 are 2, 3, 157. Prime factorization of 1884 in exponential form is:

1884 = 22 × 31 × 1571

Now multiplying the highest exponent prime factors to calculate the LCM of 1870 and 1884.

LCM(1870,1884) = 22 × 51 × 111 × 171 × 31 × 1571
LCM(1870,1884) = 1761540