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What is the Least Common Multiple of 16142 and 16156?

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 16142 and 16156 is 18627868.

LCM(16142,16156) = 18627868

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Least Common Multiple of 16142 and 16156 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16142 and 16156, than apply into the LCM equation.

GCF(16142,16156) = 14
LCM(16142,16156) = ( 16142 × 16156) / 14
LCM(16142,16156) = 260790152 / 14
LCM(16142,16156) = 18627868

Least Common Multiple (LCM) of 16142 and 16156 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16142 and 16156. First we will calculate the prime factors of 16142 and 16156.

Prime Factorization of 16142

Prime factors of 16142 are 2, 7, 1153. Prime factorization of 16142 in exponential form is:

16142 = 21 × 71 × 11531

Prime Factorization of 16156

Prime factors of 16156 are 2, 7, 577. Prime factorization of 16156 in exponential form is:

16156 = 22 × 71 × 5771

Now multiplying the highest exponent prime factors to calculate the LCM of 16142 and 16156.

LCM(16142,16156) = 22 × 71 × 11531 × 5771
LCM(16142,16156) = 18627868