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What is the Least Common Multiple of 385 and 404?

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 385 and 404 is 155540.

LCM(385,404) = 155540

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Least Common Multiple of 385 and 404 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 385 and 404, than apply into the LCM equation.

GCF(385,404) = 1
LCM(385,404) = ( 385 × 404) / 1
LCM(385,404) = 155540 / 1
LCM(385,404) = 155540

Least Common Multiple (LCM) of 385 and 404 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 385 and 404. First we will calculate the prime factors of 385 and 404.

Prime Factorization of 385

Prime factors of 385 are 5, 7, 11. Prime factorization of 385 in exponential form is:

385 = 51 × 71 × 111

Prime Factorization of 404

Prime factors of 404 are 2, 101. Prime factorization of 404 in exponential form is:

404 = 22 × 1011

Now multiplying the highest exponent prime factors to calculate the LCM of 385 and 404.

LCM(385,404) = 51 × 71 × 111 × 22 × 1011
LCM(385,404) = 155540