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What is the Least Common Multiple of 16038 and 16052?

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 16038 and 16052 is 128720988.

LCM(16038,16052) = 128720988

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Least Common Multiple of 16038 and 16052 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16038 and 16052, than apply into the LCM equation.

GCF(16038,16052) = 2
LCM(16038,16052) = ( 16038 × 16052) / 2
LCM(16038,16052) = 257441976 / 2
LCM(16038,16052) = 128720988

Least Common Multiple (LCM) of 16038 and 16052 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16038 and 16052. First we will calculate the prime factors of 16038 and 16052.

Prime Factorization of 16038

Prime factors of 16038 are 2, 3, 11. Prime factorization of 16038 in exponential form is:

16038 = 21 × 36 × 111

Prime Factorization of 16052

Prime factors of 16052 are 2, 4013. Prime factorization of 16052 in exponential form is:

16052 = 22 × 40131

Now multiplying the highest exponent prime factors to calculate the LCM of 16038 and 16052.

LCM(16038,16052) = 22 × 36 × 111 × 40131
LCM(16038,16052) = 128720988