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What is the Least Common Multiple of 1906 and 1915?

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 1906 and 1915 is 3649990.

LCM(1906,1915) = 3649990

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Least Common Multiple of 1906 and 1915 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1906 and 1915, than apply into the LCM equation.

GCF(1906,1915) = 1
LCM(1906,1915) = ( 1906 × 1915) / 1
LCM(1906,1915) = 3649990 / 1
LCM(1906,1915) = 3649990

Least Common Multiple (LCM) of 1906 and 1915 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1906 and 1915. First we will calculate the prime factors of 1906 and 1915.

Prime Factorization of 1906

Prime factors of 1906 are 2, 953. Prime factorization of 1906 in exponential form is:

1906 = 21 × 9531

Prime Factorization of 1915

Prime factors of 1915 are 5, 383. Prime factorization of 1915 in exponential form is:

1915 = 51 × 3831

Now multiplying the highest exponent prime factors to calculate the LCM of 1906 and 1915.

LCM(1906,1915) = 21 × 9531 × 51 × 3831
LCM(1906,1915) = 3649990