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What is the Least Common Multiple of 54884 and 54890?

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 54884 and 54890 is 1506291380.

LCM(54884,54890) = 1506291380

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Least Common Multiple of 54884 and 54890 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54884 and 54890, than apply into the LCM equation.

GCF(54884,54890) = 2
LCM(54884,54890) = ( 54884 × 54890) / 2
LCM(54884,54890) = 3012582760 / 2
LCM(54884,54890) = 1506291380

Least Common Multiple (LCM) of 54884 and 54890 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54884 and 54890. First we will calculate the prime factors of 54884 and 54890.

Prime Factorization of 54884

Prime factors of 54884 are 2, 13721. Prime factorization of 54884 in exponential form is:

54884 = 22 × 137211

Prime Factorization of 54890

Prime factors of 54890 are 2, 5, 11, 499. Prime factorization of 54890 in exponential form is:

54890 = 21 × 51 × 111 × 4991

Now multiplying the highest exponent prime factors to calculate the LCM of 54884 and 54890.

LCM(54884,54890) = 22 × 137211 × 51 × 111 × 4991
LCM(54884,54890) = 1506291380