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What is the Least Common Multiple of 7462 and 7481?

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 7462 and 7481 is 55823222.

LCM(7462,7481) = 55823222

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Least Common Multiple of 7462 and 7481 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7462 and 7481, than apply into the LCM equation.

GCF(7462,7481) = 1
LCM(7462,7481) = ( 7462 × 7481) / 1
LCM(7462,7481) = 55823222 / 1
LCM(7462,7481) = 55823222

Least Common Multiple (LCM) of 7462 and 7481 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7462 and 7481. First we will calculate the prime factors of 7462 and 7481.

Prime Factorization of 7462

Prime factors of 7462 are 2, 7, 13, 41. Prime factorization of 7462 in exponential form is:

7462 = 21 × 71 × 131 × 411

Prime Factorization of 7481

Prime factors of 7481 are 7481. Prime factorization of 7481 in exponential form is:

7481 = 74811

Now multiplying the highest exponent prime factors to calculate the LCM of 7462 and 7481.

LCM(7462,7481) = 21 × 71 × 131 × 411 × 74811
LCM(7462,7481) = 55823222