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What is the Least Common Multiple of 54884 and 54900?

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 54900 is 753282900.

LCM(54884,54900) = 753282900

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Least Common Multiple of 54884 and 54900 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 54900, than apply into the LCM equation.

GCF(54884,54900) = 4
LCM(54884,54900) = ( 54884 × 54900) / 4
LCM(54884,54900) = 3013131600 / 4
LCM(54884,54900) = 753282900

Least Common Multiple (LCM) of 54884 and 54900 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54884 and 54900. First we will calculate the prime factors of 54884 and 54900.

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 54900

Prime factors of 54900 are 2, 3, 5, 61. Prime factorization of 54900 in exponential form is:

54900 = 22 × 32 × 52 × 611

Now multiplying the highest exponent prime factors to calculate the LCM of 54884 and 54900.

LCM(54884,54900) = 22 × 137211 × 32 × 52 × 611
LCM(54884,54900) = 753282900