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What is the Least Common Multiple of 7391 and 7406?

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 7391 and 7406 is 54737746.

LCM(7391,7406) = 54737746

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Least Common Multiple of 7391 and 7406 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7391 and 7406, than apply into the LCM equation.

GCF(7391,7406) = 1
LCM(7391,7406) = ( 7391 × 7406) / 1
LCM(7391,7406) = 54737746 / 1
LCM(7391,7406) = 54737746

Least Common Multiple (LCM) of 7391 and 7406 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7391 and 7406. First we will calculate the prime factors of 7391 and 7406.

Prime Factorization of 7391

Prime factors of 7391 are 19, 389. Prime factorization of 7391 in exponential form is:

7391 = 191 × 3891

Prime Factorization of 7406

Prime factors of 7406 are 2, 7, 23. Prime factorization of 7406 in exponential form is:

7406 = 21 × 71 × 232

Now multiplying the highest exponent prime factors to calculate the LCM of 7391 and 7406.

LCM(7391,7406) = 191 × 3891 × 21 × 71 × 232
LCM(7391,7406) = 54737746