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What is the Least Common Multiple of 67352 and 67358?

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 67352 and 67358 is 2268348008.

LCM(67352,67358) = 2268348008

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Least Common Multiple of 67352 and 67358 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67352 and 67358, than apply into the LCM equation.

GCF(67352,67358) = 2
LCM(67352,67358) = ( 67352 × 67358) / 2
LCM(67352,67358) = 4536696016 / 2
LCM(67352,67358) = 2268348008

Least Common Multiple (LCM) of 67352 and 67358 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67352 and 67358. First we will calculate the prime factors of 67352 and 67358.

Prime Factorization of 67352

Prime factors of 67352 are 2, 8419. Prime factorization of 67352 in exponential form is:

67352 = 23 × 84191

Prime Factorization of 67358

Prime factors of 67358 are 2, 33679. Prime factorization of 67358 in exponential form is:

67358 = 21 × 336791

Now multiplying the highest exponent prime factors to calculate the LCM of 67352 and 67358.

LCM(67352,67358) = 23 × 84191 × 336791
LCM(67352,67358) = 2268348008