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What is the Least Common Multiple of 16562 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 16562 and 16572 is 137232732.

LCM(16562,16572) = 137232732

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Least Common Multiple of 16562 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 16562 and 16572, than apply into the LCM equation.

GCF(16562,16572) = 2
LCM(16562,16572) = ( 16562 × 16572) / 2
LCM(16562,16572) = 274465464 / 2
LCM(16562,16572) = 137232732

Least Common Multiple (LCM) of 16562 and 16572 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16562 and 16572. First we will calculate the prime factors of 16562 and 16572.

Prime Factorization of 16562

Prime factors of 16562 are 2, 7, 13. Prime factorization of 16562 in exponential form is:

16562 = 21 × 72 × 132

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 16562 and 16572.

LCM(16562,16572) = 22 × 72 × 132 × 31 × 13811
LCM(16562,16572) = 137232732