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What is the Least Common Multiple of 7482 and 7493?

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 7482 and 7493 is 56062626.

LCM(7482,7493) = 56062626

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Least Common Multiple of 7482 and 7493 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7482 and 7493, than apply into the LCM equation.

GCF(7482,7493) = 1
LCM(7482,7493) = ( 7482 × 7493) / 1
LCM(7482,7493) = 56062626 / 1
LCM(7482,7493) = 56062626

Least Common Multiple (LCM) of 7482 and 7493 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7482 and 7493. First we will calculate the prime factors of 7482 and 7493.

Prime Factorization of 7482

Prime factors of 7482 are 2, 3, 29, 43. Prime factorization of 7482 in exponential form is:

7482 = 21 × 31 × 291 × 431

Prime Factorization of 7493

Prime factors of 7493 are 59, 127. Prime factorization of 7493 in exponential form is:

7493 = 591 × 1271

Now multiplying the highest exponent prime factors to calculate the LCM of 7482 and 7493.

LCM(7482,7493) = 21 × 31 × 291 × 431 × 591 × 1271
LCM(7482,7493) = 56062626