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What is the Least Common Multiple of 54490 and 54507?

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 54490 and 54507 is 2970086430.

LCM(54490,54507) = 2970086430

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Least Common Multiple of 54490 and 54507 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54490 and 54507, than apply into the LCM equation.

GCF(54490,54507) = 1
LCM(54490,54507) = ( 54490 × 54507) / 1
LCM(54490,54507) = 2970086430 / 1
LCM(54490,54507) = 2970086430

Least Common Multiple (LCM) of 54490 and 54507 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54490 and 54507. First we will calculate the prime factors of 54490 and 54507.

Prime Factorization of 54490

Prime factors of 54490 are 2, 5, 5449. Prime factorization of 54490 in exponential form is:

54490 = 21 × 51 × 54491

Prime Factorization of 54507

Prime factors of 54507 are 3, 18169. Prime factorization of 54507 in exponential form is:

54507 = 31 × 181691

Now multiplying the highest exponent prime factors to calculate the LCM of 54490 and 54507.

LCM(54490,54507) = 21 × 51 × 54491 × 31 × 181691
LCM(54490,54507) = 2970086430