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What is the Least Common Multiple of 67349 and 67355?

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 67349 and 67355 is 4536291895.

LCM(67349,67355) = 4536291895

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Least Common Multiple of 67349 and 67355 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67349 and 67355, than apply into the LCM equation.

GCF(67349,67355) = 1
LCM(67349,67355) = ( 67349 × 67355) / 1
LCM(67349,67355) = 4536291895 / 1
LCM(67349,67355) = 4536291895

Least Common Multiple (LCM) of 67349 and 67355 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67349 and 67355. First we will calculate the prime factors of 67349 and 67355.

Prime Factorization of 67349

Prime factors of 67349 are 67349. Prime factorization of 67349 in exponential form is:

67349 = 673491

Prime Factorization of 67355

Prime factors of 67355 are 5, 19, 709. Prime factorization of 67355 in exponential form is:

67355 = 51 × 191 × 7091

Now multiplying the highest exponent prime factors to calculate the LCM of 67349 and 67355.

LCM(67349,67355) = 673491 × 51 × 191 × 7091
LCM(67349,67355) = 4536291895