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What is the Least Common Multiple of 7385 and 7403?

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 7385 and 7403 is 54671155.

LCM(7385,7403) = 54671155

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Least Common Multiple of 7385 and 7403 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7385 and 7403, than apply into the LCM equation.

GCF(7385,7403) = 1
LCM(7385,7403) = ( 7385 × 7403) / 1
LCM(7385,7403) = 54671155 / 1
LCM(7385,7403) = 54671155

Least Common Multiple (LCM) of 7385 and 7403 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7385 and 7403. First we will calculate the prime factors of 7385 and 7403.

Prime Factorization of 7385

Prime factors of 7385 are 5, 7, 211. Prime factorization of 7385 in exponential form is:

7385 = 51 × 71 × 2111

Prime Factorization of 7403

Prime factors of 7403 are 11, 673. Prime factorization of 7403 in exponential form is:

7403 = 111 × 6731

Now multiplying the highest exponent prime factors to calculate the LCM of 7385 and 7403.

LCM(7385,7403) = 51 × 71 × 2111 × 111 × 6731
LCM(7385,7403) = 54671155