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What is the Least Common Multiple of 18894 and 18901?

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 18894 and 18901 is 357115494.

LCM(18894,18901) = 357115494

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Least Common Multiple of 18894 and 18901 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18894 and 18901, than apply into the LCM equation.

GCF(18894,18901) = 1
LCM(18894,18901) = ( 18894 × 18901) / 1
LCM(18894,18901) = 357115494 / 1
LCM(18894,18901) = 357115494

Least Common Multiple (LCM) of 18894 and 18901 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18894 and 18901. First we will calculate the prime factors of 18894 and 18901.

Prime Factorization of 18894

Prime factors of 18894 are 2, 3, 47, 67. Prime factorization of 18894 in exponential form is:

18894 = 21 × 31 × 471 × 671

Prime Factorization of 18901

Prime factors of 18901 are 41, 461. Prime factorization of 18901 in exponential form is:

18901 = 411 × 4611

Now multiplying the highest exponent prime factors to calculate the LCM of 18894 and 18901.

LCM(18894,18901) = 21 × 31 × 471 × 671 × 411 × 4611
LCM(18894,18901) = 357115494