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What is the Least Common Multiple of 16052 and 16059?

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 16052 and 16059 is 257779068.

LCM(16052,16059) = 257779068

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Least Common Multiple of 16052 and 16059 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16052 and 16059, than apply into the LCM equation.

GCF(16052,16059) = 1
LCM(16052,16059) = ( 16052 × 16059) / 1
LCM(16052,16059) = 257779068 / 1
LCM(16052,16059) = 257779068

Least Common Multiple (LCM) of 16052 and 16059 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16052 and 16059. First we will calculate the prime factors of 16052 and 16059.

Prime Factorization of 16052

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

16052 = 22 × 40131

Prime Factorization of 16059

Prime factors of 16059 are 3, 53, 101. Prime factorization of 16059 in exponential form is:

16059 = 31 × 531 × 1011

Now multiplying the highest exponent prime factors to calculate the LCM of 16052 and 16059.

LCM(16052,16059) = 22 × 40131 × 31 × 531 × 1011
LCM(16052,16059) = 257779068