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What is the Least Common Multiple of 7342 and 7355?

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 7342 and 7355 is 54000410.

LCM(7342,7355) = 54000410

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Least Common Multiple of 7342 and 7355 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7342 and 7355, than apply into the LCM equation.

GCF(7342,7355) = 1
LCM(7342,7355) = ( 7342 × 7355) / 1
LCM(7342,7355) = 54000410 / 1
LCM(7342,7355) = 54000410

Least Common Multiple (LCM) of 7342 and 7355 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7342 and 7355. First we will calculate the prime factors of 7342 and 7355.

Prime Factorization of 7342

Prime factors of 7342 are 2, 3671. Prime factorization of 7342 in exponential form is:

7342 = 21 × 36711

Prime Factorization of 7355

Prime factors of 7355 are 5, 1471. Prime factorization of 7355 in exponential form is:

7355 = 51 × 14711

Now multiplying the highest exponent prime factors to calculate the LCM of 7342 and 7355.

LCM(7342,7355) = 21 × 36711 × 51 × 14711
LCM(7342,7355) = 54000410