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What is the Least Common Multiple of 54408 and 54418?

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 54408 and 54418 is 1480387272.

LCM(54408,54418) = 1480387272

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Least Common Multiple of 54408 and 54418 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54408 and 54418, than apply into the LCM equation.

GCF(54408,54418) = 2
LCM(54408,54418) = ( 54408 × 54418) / 2
LCM(54408,54418) = 2960774544 / 2
LCM(54408,54418) = 1480387272

Least Common Multiple (LCM) of 54408 and 54418 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54408 and 54418. First we will calculate the prime factors of 54408 and 54418.

Prime Factorization of 54408

Prime factors of 54408 are 2, 3, 2267. Prime factorization of 54408 in exponential form is:

54408 = 23 × 31 × 22671

Prime Factorization of 54418

Prime factors of 54418 are 2, 7, 13, 23. Prime factorization of 54418 in exponential form is:

54418 = 21 × 71 × 132 × 231

Now multiplying the highest exponent prime factors to calculate the LCM of 54408 and 54418.

LCM(54408,54418) = 23 × 31 × 22671 × 71 × 132 × 231
LCM(54408,54418) = 1480387272