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What is the Least Common Multiple of 7385 and 7405?

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 7405 is 10937185.

LCM(7385,7405) = 10937185

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Least Common Multiple of 7385 and 7405 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 7405, than apply into the LCM equation.

GCF(7385,7405) = 5
LCM(7385,7405) = ( 7385 × 7405) / 5
LCM(7385,7405) = 54685925 / 5
LCM(7385,7405) = 10937185

Least Common Multiple (LCM) of 7385 and 7405 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7385 and 7405. First we will calculate the prime factors of 7385 and 7405.

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 7405

Prime factors of 7405 are 5, 1481. Prime factorization of 7405 in exponential form is:

7405 = 51 × 14811

Now multiplying the highest exponent prime factors to calculate the LCM of 7385 and 7405.

LCM(7385,7405) = 51 × 71 × 2111 × 14811
LCM(7385,7405) = 10937185