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What is the Least Common Multiple of 16672 and 16692?

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 16672 and 16692 is 69572256.

LCM(16672,16692) = 69572256

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Least Common Multiple of 16672 and 16692 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16672 and 16692, than apply into the LCM equation.

GCF(16672,16692) = 4
LCM(16672,16692) = ( 16672 × 16692) / 4
LCM(16672,16692) = 278289024 / 4
LCM(16672,16692) = 69572256

Least Common Multiple (LCM) of 16672 and 16692 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16672 and 16692. First we will calculate the prime factors of 16672 and 16692.

Prime Factorization of 16672

Prime factors of 16672 are 2, 521. Prime factorization of 16672 in exponential form is:

16672 = 25 × 5211

Prime Factorization of 16692

Prime factors of 16692 are 2, 3, 13, 107. Prime factorization of 16692 in exponential form is:

16692 = 22 × 31 × 131 × 1071

Now multiplying the highest exponent prime factors to calculate the LCM of 16672 and 16692.

LCM(16672,16692) = 25 × 5211 × 31 × 131 × 1071
LCM(16672,16692) = 69572256