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What is the Least Common Multiple of 16559 and 16572?

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 16559 and 16572 is 274415748.

LCM(16559,16572) = 274415748

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Least Common Multiple of 16559 and 16572 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16559 and 16572, than apply into the LCM equation.

GCF(16559,16572) = 1
LCM(16559,16572) = ( 16559 × 16572) / 1
LCM(16559,16572) = 274415748 / 1
LCM(16559,16572) = 274415748

Least Common Multiple (LCM) of 16559 and 16572 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16559 and 16572. First we will calculate the prime factors of 16559 and 16572.

Prime Factorization of 16559

Prime factors of 16559 are 29, 571. Prime factorization of 16559 in exponential form is:

16559 = 291 × 5711

Prime Factorization of 16572

Prime factors of 16572 are 2, 3, 1381. Prime factorization of 16572 in exponential form is:

16572 = 22 × 31 × 13811

Now multiplying the highest exponent prime factors to calculate the LCM of 16559 and 16572.

LCM(16559,16572) = 291 × 5711 × 22 × 31 × 13811
LCM(16559,16572) = 274415748