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What is the Least Common Multiple of 54390 and 54399?

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 54390 and 54399 is 986253870.

LCM(54390,54399) = 986253870

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Least Common Multiple of 54390 and 54399 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54390 and 54399, than apply into the LCM equation.

GCF(54390,54399) = 3
LCM(54390,54399) = ( 54390 × 54399) / 3
LCM(54390,54399) = 2958761610 / 3
LCM(54390,54399) = 986253870

Least Common Multiple (LCM) of 54390 and 54399 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54390 and 54399. First we will calculate the prime factors of 54390 and 54399.

Prime Factorization of 54390

Prime factors of 54390 are 2, 3, 5, 7, 37. Prime factorization of 54390 in exponential form is:

54390 = 21 × 31 × 51 × 72 × 371

Prime Factorization of 54399

Prime factors of 54399 are 3, 18133. Prime factorization of 54399 in exponential form is:

54399 = 31 × 181331

Now multiplying the highest exponent prime factors to calculate the LCM of 54390 and 54399.

LCM(54390,54399) = 21 × 31 × 51 × 72 × 371 × 181331
LCM(54390,54399) = 986253870