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What is the Least Common Multiple of 16648 and 16652?

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 16648 and 16652 is 69305624.

LCM(16648,16652) = 69305624

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Least Common Multiple of 16648 and 16652 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16648 and 16652, than apply into the LCM equation.

GCF(16648,16652) = 4
LCM(16648,16652) = ( 16648 × 16652) / 4
LCM(16648,16652) = 277222496 / 4
LCM(16648,16652) = 69305624

Least Common Multiple (LCM) of 16648 and 16652 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16648 and 16652. First we will calculate the prime factors of 16648 and 16652.

Prime Factorization of 16648

Prime factors of 16648 are 2, 2081. Prime factorization of 16648 in exponential form is:

16648 = 23 × 20811

Prime Factorization of 16652

Prime factors of 16652 are 2, 23, 181. Prime factorization of 16652 in exponential form is:

16652 = 22 × 231 × 1811

Now multiplying the highest exponent prime factors to calculate the LCM of 16648 and 16652.

LCM(16648,16652) = 23 × 20811 × 231 × 1811
LCM(16648,16652) = 69305624