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What is the Least Common Multiple of 3543 and 3553?

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 3543 and 3553 is 12588279.

LCM(3543,3553) = 12588279

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Least Common Multiple of 3543 and 3553 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3543 and 3553, than apply into the LCM equation.

GCF(3543,3553) = 1
LCM(3543,3553) = ( 3543 × 3553) / 1
LCM(3543,3553) = 12588279 / 1
LCM(3543,3553) = 12588279

Least Common Multiple (LCM) of 3543 and 3553 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3543 and 3553. First we will calculate the prime factors of 3543 and 3553.

Prime Factorization of 3543

Prime factors of 3543 are 3, 1181. Prime factorization of 3543 in exponential form is:

3543 = 31 × 11811

Prime Factorization of 3553

Prime factors of 3553 are 11, 17, 19. Prime factorization of 3553 in exponential form is:

3553 = 111 × 171 × 191

Now multiplying the highest exponent prime factors to calculate the LCM of 3543 and 3553.

LCM(3543,3553) = 31 × 11811 × 111 × 171 × 191
LCM(3543,3553) = 12588279