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What is the Least Common Multiple of 67160 and 67170?

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 67160 and 67170 is 451113720.

LCM(67160,67170) = 451113720

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Least Common Multiple of 67160 and 67170 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67160 and 67170, than apply into the LCM equation.

GCF(67160,67170) = 10
LCM(67160,67170) = ( 67160 × 67170) / 10
LCM(67160,67170) = 4511137200 / 10
LCM(67160,67170) = 451113720

Least Common Multiple (LCM) of 67160 and 67170 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67160 and 67170. First we will calculate the prime factors of 67160 and 67170.

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

Prime Factorization of 67170

Prime factors of 67170 are 2, 3, 5, 2239. Prime factorization of 67170 in exponential form is:

67170 = 21 × 31 × 51 × 22391

Now multiplying the highest exponent prime factors to calculate the LCM of 67160 and 67170.

LCM(67160,67170) = 23 × 51 × 231 × 731 × 31 × 22391
LCM(67160,67170) = 451113720