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What is the Least Common Multiple of 16141 and 16160?

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 16141 and 16160 is 260838560.

LCM(16141,16160) = 260838560

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Least Common Multiple of 16141 and 16160 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16141 and 16160, than apply into the LCM equation.

GCF(16141,16160) = 1
LCM(16141,16160) = ( 16141 × 16160) / 1
LCM(16141,16160) = 260838560 / 1
LCM(16141,16160) = 260838560

Least Common Multiple (LCM) of 16141 and 16160 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16141 and 16160. First we will calculate the prime factors of 16141 and 16160.

Prime Factorization of 16141

Prime factors of 16141 are 16141. Prime factorization of 16141 in exponential form is:

16141 = 161411

Prime Factorization of 16160

Prime factors of 16160 are 2, 5, 101. Prime factorization of 16160 in exponential form is:

16160 = 25 × 51 × 1011

Now multiplying the highest exponent prime factors to calculate the LCM of 16141 and 16160.

LCM(16141,16160) = 161411 × 25 × 51 × 1011
LCM(16141,16160) = 260838560