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What is the Least Common Multiple of 16068 and 16076?

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 16068 and 16076 is 64577292.

LCM(16068,16076) = 64577292

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Least Common Multiple of 16068 and 16076 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16068 and 16076, than apply into the LCM equation.

GCF(16068,16076) = 4
LCM(16068,16076) = ( 16068 × 16076) / 4
LCM(16068,16076) = 258309168 / 4
LCM(16068,16076) = 64577292

Least Common Multiple (LCM) of 16068 and 16076 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16068 and 16076. First we will calculate the prime factors of 16068 and 16076.

Prime Factorization of 16068

Prime factors of 16068 are 2, 3, 13, 103. Prime factorization of 16068 in exponential form is:

16068 = 22 × 31 × 131 × 1031

Prime Factorization of 16076

Prime factors of 16076 are 2, 4019. Prime factorization of 16076 in exponential form is:

16076 = 22 × 40191

Now multiplying the highest exponent prime factors to calculate the LCM of 16068 and 16076.

LCM(16068,16076) = 22 × 31 × 131 × 1031 × 40191
LCM(16068,16076) = 64577292