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What is the Least Common Multiple of 1903 and 1916?

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 1903 and 1916 is 3646148.

LCM(1903,1916) = 3646148

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Least Common Multiple of 1903 and 1916 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1903 and 1916, than apply into the LCM equation.

GCF(1903,1916) = 1
LCM(1903,1916) = ( 1903 × 1916) / 1
LCM(1903,1916) = 3646148 / 1
LCM(1903,1916) = 3646148

Least Common Multiple (LCM) of 1903 and 1916 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1903 and 1916. First we will calculate the prime factors of 1903 and 1916.

Prime Factorization of 1903

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

1903 = 111 × 1731

Prime Factorization of 1916

Prime factors of 1916 are 2, 479. Prime factorization of 1916 in exponential form is:

1916 = 22 × 4791

Now multiplying the highest exponent prime factors to calculate the LCM of 1903 and 1916.

LCM(1903,1916) = 111 × 1731 × 22 × 4791
LCM(1903,1916) = 3646148