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What is the Least Common Multiple of 54530 and 54540?

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 54530 and 54540 is 297406620.

LCM(54530,54540) = 297406620

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Least Common Multiple of 54530 and 54540 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54530 and 54540, than apply into the LCM equation.

GCF(54530,54540) = 10
LCM(54530,54540) = ( 54530 × 54540) / 10
LCM(54530,54540) = 2974066200 / 10
LCM(54530,54540) = 297406620

Least Common Multiple (LCM) of 54530 and 54540 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54530 and 54540. First we will calculate the prime factors of 54530 and 54540.

Prime Factorization of 54530

Prime factors of 54530 are 2, 5, 7, 19, 41. Prime factorization of 54530 in exponential form is:

54530 = 21 × 51 × 71 × 191 × 411

Prime Factorization of 54540

Prime factors of 54540 are 2, 3, 5, 101. Prime factorization of 54540 in exponential form is:

54540 = 22 × 33 × 51 × 1011

Now multiplying the highest exponent prime factors to calculate the LCM of 54530 and 54540.

LCM(54530,54540) = 22 × 51 × 71 × 191 × 411 × 33 × 1011
LCM(54530,54540) = 297406620