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What is the Least Common Multiple of 535 and 554?

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 535 and 554 is 296390.

LCM(535,554) = 296390

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Least Common Multiple of 535 and 554 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 535 and 554, than apply into the LCM equation.

GCF(535,554) = 1
LCM(535,554) = ( 535 × 554) / 1
LCM(535,554) = 296390 / 1
LCM(535,554) = 296390

Least Common Multiple (LCM) of 535 and 554 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 535 and 554. First we will calculate the prime factors of 535 and 554.

Prime Factorization of 535

Prime factors of 535 are 5, 107. Prime factorization of 535 in exponential form is:

535 = 51 × 1071

Prime Factorization of 554

Prime factors of 554 are 2, 277. Prime factorization of 554 in exponential form is:

554 = 21 × 2771

Now multiplying the highest exponent prime factors to calculate the LCM of 535 and 554.

LCM(535,554) = 51 × 1071 × 21 × 2771
LCM(535,554) = 296390