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What is the Least Common Multiple of 67185 and 67193?

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 67185 and 67193 is 4514361705.

LCM(67185,67193) = 4514361705

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Least Common Multiple of 67185 and 67193 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67185 and 67193, than apply into the LCM equation.

GCF(67185,67193) = 1
LCM(67185,67193) = ( 67185 × 67193) / 1
LCM(67185,67193) = 4514361705 / 1
LCM(67185,67193) = 4514361705

Least Common Multiple (LCM) of 67185 and 67193 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67185 and 67193. First we will calculate the prime factors of 67185 and 67193.

Prime Factorization of 67185

Prime factors of 67185 are 3, 5, 1493. Prime factorization of 67185 in exponential form is:

67185 = 32 × 51 × 14931

Prime Factorization of 67193

Prime factors of 67193 are 7, 29, 331. Prime factorization of 67193 in exponential form is:

67193 = 71 × 291 × 3311

Now multiplying the highest exponent prime factors to calculate the LCM of 67185 and 67193.

LCM(67185,67193) = 32 × 51 × 14931 × 71 × 291 × 3311
LCM(67185,67193) = 4514361705