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What is the Least Common Multiple of 67170 and 67190?

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 67170 and 67190 is 451315230.

LCM(67170,67190) = 451315230

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Least Common Multiple of 67170 and 67190 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67170 and 67190, than apply into the LCM equation.

GCF(67170,67190) = 10
LCM(67170,67190) = ( 67170 × 67190) / 10
LCM(67170,67190) = 4513152300 / 10
LCM(67170,67190) = 451315230

Least Common Multiple (LCM) of 67170 and 67190 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67170 and 67190. First we will calculate the prime factors of 67170 and 67190.

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

Prime Factorization of 67190

Prime factors of 67190 are 2, 5, 6719. Prime factorization of 67190 in exponential form is:

67190 = 21 × 51 × 67191

Now multiplying the highest exponent prime factors to calculate the LCM of 67170 and 67190.

LCM(67170,67190) = 21 × 31 × 51 × 22391 × 67191
LCM(67170,67190) = 451315230