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What is the Least Common Multiple of 54390 and 54409?

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 54409 is 2959305510.

LCM(54390,54409) = 2959305510

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Least Common Multiple of 54390 and 54409 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 54409, than apply into the LCM equation.

GCF(54390,54409) = 1
LCM(54390,54409) = ( 54390 × 54409) / 1
LCM(54390,54409) = 2959305510 / 1
LCM(54390,54409) = 2959305510

Least Common Multiple (LCM) of 54390 and 54409 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54390 and 54409. First we will calculate the prime factors of 54390 and 54409.

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 54409

Prime factors of 54409 are 54409. Prime factorization of 54409 in exponential form is:

54409 = 544091

Now multiplying the highest exponent prime factors to calculate the LCM of 54390 and 54409.

LCM(54390,54409) = 21 × 31 × 51 × 72 × 371 × 544091
LCM(54390,54409) = 2959305510