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What is the Least Common Multiple of 17462 and 17476?

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 17462 and 17476 is 152582956.

LCM(17462,17476) = 152582956

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Least Common Multiple of 17462 and 17476 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17462 and 17476, than apply into the LCM equation.

GCF(17462,17476) = 2
LCM(17462,17476) = ( 17462 × 17476) / 2
LCM(17462,17476) = 305165912 / 2
LCM(17462,17476) = 152582956

Least Common Multiple (LCM) of 17462 and 17476 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17462 and 17476. First we will calculate the prime factors of 17462 and 17476.

Prime Factorization of 17462

Prime factors of 17462 are 2, 8731. Prime factorization of 17462 in exponential form is:

17462 = 21 × 87311

Prime Factorization of 17476

Prime factors of 17476 are 2, 17, 257. Prime factorization of 17476 in exponential form is:

17476 = 22 × 171 × 2571

Now multiplying the highest exponent prime factors to calculate the LCM of 17462 and 17476.

LCM(17462,17476) = 22 × 87311 × 171 × 2571
LCM(17462,17476) = 152582956