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What is the Least Common Multiple of 4541 and 4560?

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 4541 and 4560 is 1089840.

LCM(4541,4560) = 1089840

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Least Common Multiple of 4541 and 4560 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4541 and 4560, than apply into the LCM equation.

GCF(4541,4560) = 19
LCM(4541,4560) = ( 4541 × 4560) / 19
LCM(4541,4560) = 20706960 / 19
LCM(4541,4560) = 1089840

Least Common Multiple (LCM) of 4541 and 4560 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4541 and 4560. First we will calculate the prime factors of 4541 and 4560.

Prime Factorization of 4541

Prime factors of 4541 are 19, 239. Prime factorization of 4541 in exponential form is:

4541 = 191 × 2391

Prime Factorization of 4560

Prime factors of 4560 are 2, 3, 5, 19. Prime factorization of 4560 in exponential form is:

4560 = 24 × 31 × 51 × 191

Now multiplying the highest exponent prime factors to calculate the LCM of 4541 and 4560.

LCM(4541,4560) = 191 × 2391 × 24 × 31 × 51
LCM(4541,4560) = 1089840