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What is the Least Common Multiple of 1894 and 1901?

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 1894 and 1901 is 3600494.

LCM(1894,1901) = 3600494

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Least Common Multiple of 1894 and 1901 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1894 and 1901, than apply into the LCM equation.

GCF(1894,1901) = 1
LCM(1894,1901) = ( 1894 × 1901) / 1
LCM(1894,1901) = 3600494 / 1
LCM(1894,1901) = 3600494

Least Common Multiple (LCM) of 1894 and 1901 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1894 and 1901. First we will calculate the prime factors of 1894 and 1901.

Prime Factorization of 1894

Prime factors of 1894 are 2, 947. Prime factorization of 1894 in exponential form is:

1894 = 21 × 9471

Prime Factorization of 1901

Prime factors of 1901 are 1901. Prime factorization of 1901 in exponential form is:

1901 = 19011

Now multiplying the highest exponent prime factors to calculate the LCM of 1894 and 1901.

LCM(1894,1901) = 21 × 9471 × 19011
LCM(1894,1901) = 3600494