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What is the Least Common Multiple of 67141 and 67160?

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 67141 and 67160 is 4509189560.

LCM(67141,67160) = 4509189560

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Least Common Multiple of 67141 and 67160 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67141 and 67160, than apply into the LCM equation.

GCF(67141,67160) = 1
LCM(67141,67160) = ( 67141 × 67160) / 1
LCM(67141,67160) = 4509189560 / 1
LCM(67141,67160) = 4509189560

Least Common Multiple (LCM) of 67141 and 67160 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67141 and 67160. First we will calculate the prime factors of 67141 and 67160.

Prime Factorization of 67141

Prime factors of 67141 are 67141. Prime factorization of 67141 in exponential form is:

67141 = 671411

Prime Factorization of 67160

Prime factors of 67160 are 2, 5, 23, 73. Prime factorization of 67160 in exponential form is:

67160 = 23 × 51 × 231 × 731

Now multiplying the highest exponent prime factors to calculate the LCM of 67141 and 67160.

LCM(67141,67160) = 671411 × 23 × 51 × 231 × 731
LCM(67141,67160) = 4509189560