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What is the Least Common Multiple of 66275 and 66280?

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 66275 and 66280 is 878541400.

LCM(66275,66280) = 878541400

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Least Common Multiple of 66275 and 66280 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66275 and 66280, than apply into the LCM equation.

GCF(66275,66280) = 5
LCM(66275,66280) = ( 66275 × 66280) / 5
LCM(66275,66280) = 4392707000 / 5
LCM(66275,66280) = 878541400

Least Common Multiple (LCM) of 66275 and 66280 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66275 and 66280. First we will calculate the prime factors of 66275 and 66280.

Prime Factorization of 66275

Prime factors of 66275 are 5, 11, 241. Prime factorization of 66275 in exponential form is:

66275 = 52 × 111 × 2411

Prime Factorization of 66280

Prime factors of 66280 are 2, 5, 1657. Prime factorization of 66280 in exponential form is:

66280 = 23 × 51 × 16571

Now multiplying the highest exponent prime factors to calculate the LCM of 66275 and 66280.

LCM(66275,66280) = 52 × 111 × 2411 × 23 × 16571
LCM(66275,66280) = 878541400