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What is the Least Common Multiple of 41544 and 41560?

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 41544 and 41560 is 215821080.

LCM(41544,41560) = 215821080

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Least Common Multiple of 41544 and 41560 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41544 and 41560, than apply into the LCM equation.

GCF(41544,41560) = 8
LCM(41544,41560) = ( 41544 × 41560) / 8
LCM(41544,41560) = 1726568640 / 8
LCM(41544,41560) = 215821080

Least Common Multiple (LCM) of 41544 and 41560 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41544 and 41560. First we will calculate the prime factors of 41544 and 41560.

Prime Factorization of 41544

Prime factors of 41544 are 2, 3, 577. Prime factorization of 41544 in exponential form is:

41544 = 23 × 32 × 5771

Prime Factorization of 41560

Prime factors of 41560 are 2, 5, 1039. Prime factorization of 41560 in exponential form is:

41560 = 23 × 51 × 10391

Now multiplying the highest exponent prime factors to calculate the LCM of 41544 and 41560.

LCM(41544,41560) = 23 × 32 × 5771 × 51 × 10391
LCM(41544,41560) = 215821080