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What is the Least Common Multiple of 1569 and 1573?

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 1569 and 1573 is 2468037.

LCM(1569,1573) = 2468037

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Least Common Multiple of 1569 and 1573 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1569 and 1573, than apply into the LCM equation.

GCF(1569,1573) = 1
LCM(1569,1573) = ( 1569 × 1573) / 1
LCM(1569,1573) = 2468037 / 1
LCM(1569,1573) = 2468037

Least Common Multiple (LCM) of 1569 and 1573 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1569 and 1573. First we will calculate the prime factors of 1569 and 1573.

Prime Factorization of 1569

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

1569 = 31 × 5231

Prime Factorization of 1573

Prime factors of 1573 are 11, 13. Prime factorization of 1573 in exponential form is:

1573 = 112 × 131

Now multiplying the highest exponent prime factors to calculate the LCM of 1569 and 1573.

LCM(1569,1573) = 31 × 5231 × 112 × 131
LCM(1569,1573) = 2468037