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What is the Least Common Multiple of 1549 and 1568?

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 1549 and 1568 is 2428832.

LCM(1549,1568) = 2428832

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Least Common Multiple of 1549 and 1568 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1549 and 1568, than apply into the LCM equation.

GCF(1549,1568) = 1
LCM(1549,1568) = ( 1549 × 1568) / 1
LCM(1549,1568) = 2428832 / 1
LCM(1549,1568) = 2428832

Least Common Multiple (LCM) of 1549 and 1568 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1549 and 1568. First we will calculate the prime factors of 1549 and 1568.

Prime Factorization of 1549

Prime factors of 1549 are 1549. Prime factorization of 1549 in exponential form is:

1549 = 15491

Prime Factorization of 1568

Prime factors of 1568 are 2, 7. Prime factorization of 1568 in exponential form is:

1568 = 25 × 72

Now multiplying the highest exponent prime factors to calculate the LCM of 1549 and 1568.

LCM(1549,1568) = 15491 × 25 × 72
LCM(1549,1568) = 2428832