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What is the Least Common Multiple of 7453 and 7467?

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 7453 and 7467 is 55651551.

LCM(7453,7467) = 55651551

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Least Common Multiple of 7453 and 7467 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7453 and 7467, than apply into the LCM equation.

GCF(7453,7467) = 1
LCM(7453,7467) = ( 7453 × 7467) / 1
LCM(7453,7467) = 55651551 / 1
LCM(7453,7467) = 55651551

Least Common Multiple (LCM) of 7453 and 7467 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7453 and 7467. First we will calculate the prime factors of 7453 and 7467.

Prime Factorization of 7453

Prime factors of 7453 are 29, 257. Prime factorization of 7453 in exponential form is:

7453 = 291 × 2571

Prime Factorization of 7467

Prime factors of 7467 are 3, 19, 131. Prime factorization of 7467 in exponential form is:

7467 = 31 × 191 × 1311

Now multiplying the highest exponent prime factors to calculate the LCM of 7453 and 7467.

LCM(7453,7467) = 291 × 2571 × 31 × 191 × 1311
LCM(7453,7467) = 55651551