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What is the Least Common Multiple of 16102 and 16114?

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 16102 and 16114 is 129733814.

LCM(16102,16114) = 129733814

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Least Common Multiple of 16102 and 16114 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16102 and 16114, than apply into the LCM equation.

GCF(16102,16114) = 2
LCM(16102,16114) = ( 16102 × 16114) / 2
LCM(16102,16114) = 259467628 / 2
LCM(16102,16114) = 129733814

Least Common Multiple (LCM) of 16102 and 16114 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16102 and 16114. First we will calculate the prime factors of 16102 and 16114.

Prime Factorization of 16102

Prime factors of 16102 are 2, 83, 97. Prime factorization of 16102 in exponential form is:

16102 = 21 × 831 × 971

Prime Factorization of 16114

Prime factors of 16114 are 2, 7, 1151. Prime factorization of 16114 in exponential form is:

16114 = 21 × 71 × 11511

Now multiplying the highest exponent prime factors to calculate the LCM of 16102 and 16114.

LCM(16102,16114) = 21 × 831 × 971 × 71 × 11511
LCM(16102,16114) = 129733814