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What is the Least Common Multiple of 28535 and 28550?

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 28535 and 28550 is 162934850.

LCM(28535,28550) = 162934850

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Least Common Multiple of 28535 and 28550 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28535 and 28550, than apply into the LCM equation.

GCF(28535,28550) = 5
LCM(28535,28550) = ( 28535 × 28550) / 5
LCM(28535,28550) = 814674250 / 5
LCM(28535,28550) = 162934850

Least Common Multiple (LCM) of 28535 and 28550 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28535 and 28550. First we will calculate the prime factors of 28535 and 28550.

Prime Factorization of 28535

Prime factors of 28535 are 5, 13, 439. Prime factorization of 28535 in exponential form is:

28535 = 51 × 131 × 4391

Prime Factorization of 28550

Prime factors of 28550 are 2, 5, 571. Prime factorization of 28550 in exponential form is:

28550 = 21 × 52 × 5711

Now multiplying the highest exponent prime factors to calculate the LCM of 28535 and 28550.

LCM(28535,28550) = 52 × 131 × 4391 × 21 × 5711
LCM(28535,28550) = 162934850