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What is the Least Common Multiple of 1897 and 1903?

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 1897 and 1903 is 3609991.

LCM(1897,1903) = 3609991

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Least Common Multiple of 1897 and 1903 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1897 and 1903, than apply into the LCM equation.

GCF(1897,1903) = 1
LCM(1897,1903) = ( 1897 × 1903) / 1
LCM(1897,1903) = 3609991 / 1
LCM(1897,1903) = 3609991

Least Common Multiple (LCM) of 1897 and 1903 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1897 and 1903. First we will calculate the prime factors of 1897 and 1903.

Prime Factorization of 1897

Prime factors of 1897 are 7, 271. Prime factorization of 1897 in exponential form is:

1897 = 71 × 2711

Prime Factorization of 1903

Prime factors of 1903 are 11, 173. Prime factorization of 1903 in exponential form is:

1903 = 111 × 1731

Now multiplying the highest exponent prime factors to calculate the LCM of 1897 and 1903.

LCM(1897,1903) = 71 × 2711 × 111 × 1731
LCM(1897,1903) = 3609991