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What is the Least Common Multiple of 67175 and 67179?

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 67175 and 67179 is 4512749325.

LCM(67175,67179) = 4512749325

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Least Common Multiple of 67175 and 67179 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67175 and 67179, than apply into the LCM equation.

GCF(67175,67179) = 1
LCM(67175,67179) = ( 67175 × 67179) / 1
LCM(67175,67179) = 4512749325 / 1
LCM(67175,67179) = 4512749325

Least Common Multiple (LCM) of 67175 and 67179 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67175 and 67179. First we will calculate the prime factors of 67175 and 67179.

Prime Factorization of 67175

Prime factors of 67175 are 5, 2687. Prime factorization of 67175 in exponential form is:

67175 = 52 × 26871

Prime Factorization of 67179

Prime factors of 67179 are 3, 7, 457. Prime factorization of 67179 in exponential form is:

67179 = 31 × 72 × 4571

Now multiplying the highest exponent prime factors to calculate the LCM of 67175 and 67179.

LCM(67175,67179) = 52 × 26871 × 31 × 72 × 4571
LCM(67175,67179) = 4512749325