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What is the Least Common Multiple of 16628 and 16642?

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 16628 and 16642 is 138361588.

LCM(16628,16642) = 138361588

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Least Common Multiple of 16628 and 16642 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16628 and 16642, than apply into the LCM equation.

GCF(16628,16642) = 2
LCM(16628,16642) = ( 16628 × 16642) / 2
LCM(16628,16642) = 276723176 / 2
LCM(16628,16642) = 138361588

Least Common Multiple (LCM) of 16628 and 16642 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16628 and 16642. First we will calculate the prime factors of 16628 and 16642.

Prime Factorization of 16628

Prime factors of 16628 are 2, 4157. Prime factorization of 16628 in exponential form is:

16628 = 22 × 41571

Prime Factorization of 16642

Prime factors of 16642 are 2, 53, 157. Prime factorization of 16642 in exponential form is:

16642 = 21 × 531 × 1571

Now multiplying the highest exponent prime factors to calculate the LCM of 16628 and 16642.

LCM(16628,16642) = 22 × 41571 × 531 × 1571
LCM(16628,16642) = 138361588