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What is the Least Common Multiple of 1899 and 1910?

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 1899 and 1910 is 3627090.

LCM(1899,1910) = 3627090

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Least Common Multiple of 1899 and 1910 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1899 and 1910, than apply into the LCM equation.

GCF(1899,1910) = 1
LCM(1899,1910) = ( 1899 × 1910) / 1
LCM(1899,1910) = 3627090 / 1
LCM(1899,1910) = 3627090

Least Common Multiple (LCM) of 1899 and 1910 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1899 and 1910. First we will calculate the prime factors of 1899 and 1910.

Prime Factorization of 1899

Prime factors of 1899 are 3, 211. Prime factorization of 1899 in exponential form is:

1899 = 32 × 2111

Prime Factorization of 1910

Prime factors of 1910 are 2, 5, 191. Prime factorization of 1910 in exponential form is:

1910 = 21 × 51 × 1911

Now multiplying the highest exponent prime factors to calculate the LCM of 1899 and 1910.

LCM(1899,1910) = 32 × 2111 × 21 × 51 × 1911
LCM(1899,1910) = 3627090