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What is the Least Common Multiple of 54520 and 54535?

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 54520 and 54535 is 594649640.

LCM(54520,54535) = 594649640

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Least Common Multiple of 54520 and 54535 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54520 and 54535, than apply into the LCM equation.

GCF(54520,54535) = 5
LCM(54520,54535) = ( 54520 × 54535) / 5
LCM(54520,54535) = 2973248200 / 5
LCM(54520,54535) = 594649640

Least Common Multiple (LCM) of 54520 and 54535 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54520 and 54535. First we will calculate the prime factors of 54520 and 54535.

Prime Factorization of 54520

Prime factors of 54520 are 2, 5, 29, 47. Prime factorization of 54520 in exponential form is:

54520 = 23 × 51 × 291 × 471

Prime Factorization of 54535

Prime factors of 54535 are 5, 13, 839. Prime factorization of 54535 in exponential form is:

54535 = 51 × 131 × 8391

Now multiplying the highest exponent prime factors to calculate the LCM of 54520 and 54535.

LCM(54520,54535) = 23 × 51 × 291 × 471 × 131 × 8391
LCM(54520,54535) = 594649640