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What is the Least Common Multiple of 1543 and 1553?

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 1543 and 1553 is 2396279.

LCM(1543,1553) = 2396279

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Least Common Multiple of 1543 and 1553 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1543 and 1553, than apply into the LCM equation.

GCF(1543,1553) = 1
LCM(1543,1553) = ( 1543 × 1553) / 1
LCM(1543,1553) = 2396279 / 1
LCM(1543,1553) = 2396279

Least Common Multiple (LCM) of 1543 and 1553 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1543 and 1553. First we will calculate the prime factors of 1543 and 1553.

Prime Factorization of 1543

Prime factors of 1543 are 1543. Prime factorization of 1543 in exponential form is:

1543 = 15431

Prime Factorization of 1553

Prime factors of 1553 are 1553. Prime factorization of 1553 in exponential form is:

1553 = 15531

Now multiplying the highest exponent prime factors to calculate the LCM of 1543 and 1553.

LCM(1543,1553) = 15431 × 15531
LCM(1543,1553) = 2396279