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What is the Least Common Multiple of 3559 and 3572?

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 3559 and 3572 is 12712748.

LCM(3559,3572) = 12712748

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Least Common Multiple of 3559 and 3572 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3559 and 3572, than apply into the LCM equation.

GCF(3559,3572) = 1
LCM(3559,3572) = ( 3559 × 3572) / 1
LCM(3559,3572) = 12712748 / 1
LCM(3559,3572) = 12712748

Least Common Multiple (LCM) of 3559 and 3572 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3559 and 3572. First we will calculate the prime factors of 3559 and 3572.

Prime Factorization of 3559

Prime factors of 3559 are 3559. Prime factorization of 3559 in exponential form is:

3559 = 35591

Prime Factorization of 3572

Prime factors of 3572 are 2, 19, 47. Prime factorization of 3572 in exponential form is:

3572 = 22 × 191 × 471

Now multiplying the highest exponent prime factors to calculate the LCM of 3559 and 3572.

LCM(3559,3572) = 35591 × 22 × 191 × 471
LCM(3559,3572) = 12712748