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What is the Least Common Multiple of 17550 and 17558?

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 17550 and 17558 is 154071450.

LCM(17550,17558) = 154071450

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Least Common Multiple of 17550 and 17558 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17550 and 17558, than apply into the LCM equation.

GCF(17550,17558) = 2
LCM(17550,17558) = ( 17550 × 17558) / 2
LCM(17550,17558) = 308142900 / 2
LCM(17550,17558) = 154071450

Least Common Multiple (LCM) of 17550 and 17558 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17550 and 17558. First we will calculate the prime factors of 17550 and 17558.

Prime Factorization of 17550

Prime factors of 17550 are 2, 3, 5, 13. Prime factorization of 17550 in exponential form is:

17550 = 21 × 33 × 52 × 131

Prime Factorization of 17558

Prime factors of 17558 are 2, 8779. Prime factorization of 17558 in exponential form is:

17558 = 21 × 87791

Now multiplying the highest exponent prime factors to calculate the LCM of 17550 and 17558.

LCM(17550,17558) = 21 × 33 × 52 × 131 × 87791
LCM(17550,17558) = 154071450