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What is the Least Common Multiple of 7438 and 7457?

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 7438 and 7457 is 55465166.

LCM(7438,7457) = 55465166

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Least Common Multiple of 7438 and 7457 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7438 and 7457, than apply into the LCM equation.

GCF(7438,7457) = 1
LCM(7438,7457) = ( 7438 × 7457) / 1
LCM(7438,7457) = 55465166 / 1
LCM(7438,7457) = 55465166

Least Common Multiple (LCM) of 7438 and 7457 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7438 and 7457. First we will calculate the prime factors of 7438 and 7457.

Prime Factorization of 7438

Prime factors of 7438 are 2, 3719. Prime factorization of 7438 in exponential form is:

7438 = 21 × 37191

Prime Factorization of 7457

Prime factors of 7457 are 7457. Prime factorization of 7457 in exponential form is:

7457 = 74571

Now multiplying the highest exponent prime factors to calculate the LCM of 7438 and 7457.

LCM(7438,7457) = 21 × 37191 × 74571
LCM(7438,7457) = 55465166