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What is the Least Common Multiple of 3560 and 3571?

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 3560 and 3571 is 12712760.

LCM(3560,3571) = 12712760

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Least Common Multiple of 3560 and 3571 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3560 and 3571, than apply into the LCM equation.

GCF(3560,3571) = 1
LCM(3560,3571) = ( 3560 × 3571) / 1
LCM(3560,3571) = 12712760 / 1
LCM(3560,3571) = 12712760

Least Common Multiple (LCM) of 3560 and 3571 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3560 and 3571. First we will calculate the prime factors of 3560 and 3571.

Prime Factorization of 3560

Prime factors of 3560 are 2, 5, 89. Prime factorization of 3560 in exponential form is:

3560 = 23 × 51 × 891

Prime Factorization of 3571

Prime factors of 3571 are 3571. Prime factorization of 3571 in exponential form is:

3571 = 35711

Now multiplying the highest exponent prime factors to calculate the LCM of 3560 and 3571.

LCM(3560,3571) = 23 × 51 × 891 × 35711
LCM(3560,3571) = 12712760