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What is the Least Common Multiple of 19571 and 19581?

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 19571 and 19581 is 383219751.

LCM(19571,19581) = 383219751

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Least Common Multiple of 19571 and 19581 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19571 and 19581, than apply into the LCM equation.

GCF(19571,19581) = 1
LCM(19571,19581) = ( 19571 × 19581) / 1
LCM(19571,19581) = 383219751 / 1
LCM(19571,19581) = 383219751

Least Common Multiple (LCM) of 19571 and 19581 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19571 and 19581. First we will calculate the prime factors of 19571 and 19581.

Prime Factorization of 19571

Prime factors of 19571 are 19571. Prime factorization of 19571 in exponential form is:

19571 = 195711

Prime Factorization of 19581

Prime factors of 19581 are 3, 61, 107. Prime factorization of 19581 in exponential form is:

19581 = 31 × 611 × 1071

Now multiplying the highest exponent prime factors to calculate the LCM of 19571 and 19581.

LCM(19571,19581) = 195711 × 31 × 611 × 1071
LCM(19571,19581) = 383219751