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What is the Least Common Multiple of 1556 and 1569?

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 1556 and 1569 is 2441364.

LCM(1556,1569) = 2441364

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Least Common Multiple of 1556 and 1569 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1556 and 1569, than apply into the LCM equation.

GCF(1556,1569) = 1
LCM(1556,1569) = ( 1556 × 1569) / 1
LCM(1556,1569) = 2441364 / 1
LCM(1556,1569) = 2441364

Least Common Multiple (LCM) of 1556 and 1569 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1556 and 1569. First we will calculate the prime factors of 1556 and 1569.

Prime Factorization of 1556

Prime factors of 1556 are 2, 389. Prime factorization of 1556 in exponential form is:

1556 = 22 × 3891

Prime Factorization of 1569

Prime factors of 1569 are 3, 523. Prime factorization of 1569 in exponential form is:

1569 = 31 × 5231

Now multiplying the highest exponent prime factors to calculate the LCM of 1556 and 1569.

LCM(1556,1569) = 22 × 3891 × 31 × 5231
LCM(1556,1569) = 2441364