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What is the Least Common Multiple of 54476 and 54492?

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 54476 and 54492 is 742126548.

LCM(54476,54492) = 742126548

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Least Common Multiple of 54476 and 54492 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54476 and 54492, than apply into the LCM equation.

GCF(54476,54492) = 4
LCM(54476,54492) = ( 54476 × 54492) / 4
LCM(54476,54492) = 2968506192 / 4
LCM(54476,54492) = 742126548

Least Common Multiple (LCM) of 54476 and 54492 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54476 and 54492. First we will calculate the prime factors of 54476 and 54492.

Prime Factorization of 54476

Prime factors of 54476 are 2, 13619. Prime factorization of 54476 in exponential form is:

54476 = 22 × 136191

Prime Factorization of 54492

Prime factors of 54492 are 2, 3, 19, 239. Prime factorization of 54492 in exponential form is:

54492 = 22 × 31 × 191 × 2391

Now multiplying the highest exponent prime factors to calculate the LCM of 54476 and 54492.

LCM(54476,54492) = 22 × 136191 × 31 × 191 × 2391
LCM(54476,54492) = 742126548