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What is the Least Common Multiple of 54894 and 54909?

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 54894 and 54909 is 1004724882.

LCM(54894,54909) = 1004724882

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Least Common Multiple of 54894 and 54909 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54894 and 54909, than apply into the LCM equation.

GCF(54894,54909) = 3
LCM(54894,54909) = ( 54894 × 54909) / 3
LCM(54894,54909) = 3014174646 / 3
LCM(54894,54909) = 1004724882

Least Common Multiple (LCM) of 54894 and 54909 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54894 and 54909. First we will calculate the prime factors of 54894 and 54909.

Prime Factorization of 54894

Prime factors of 54894 are 2, 3, 7, 1307. Prime factorization of 54894 in exponential form is:

54894 = 21 × 31 × 71 × 13071

Prime Factorization of 54909

Prime factors of 54909 are 3, 6101. Prime factorization of 54909 in exponential form is:

54909 = 32 × 61011

Now multiplying the highest exponent prime factors to calculate the LCM of 54894 and 54909.

LCM(54894,54909) = 21 × 32 × 71 × 13071 × 61011
LCM(54894,54909) = 1004724882