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What is the Least Common Multiple of 16572 and 16592?

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 16572 and 16592 is 68740656.

LCM(16572,16592) = 68740656

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Least Common Multiple of 16572 and 16592 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16572 and 16592, than apply into the LCM equation.

GCF(16572,16592) = 4
LCM(16572,16592) = ( 16572 × 16592) / 4
LCM(16572,16592) = 274962624 / 4
LCM(16572,16592) = 68740656

Least Common Multiple (LCM) of 16572 and 16592 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16572 and 16592. First we will calculate the prime factors of 16572 and 16592.

Prime Factorization of 16572

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

16572 = 22 × 31 × 13811

Prime Factorization of 16592

Prime factors of 16592 are 2, 17, 61. Prime factorization of 16592 in exponential form is:

16592 = 24 × 171 × 611

Now multiplying the highest exponent prime factors to calculate the LCM of 16572 and 16592.

LCM(16572,16592) = 24 × 31 × 13811 × 171 × 611
LCM(16572,16592) = 68740656