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What is the Least Common Multiple of 66270 and 66275?

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 66270 and 66275 is 878408850.

LCM(66270,66275) = 878408850

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Least Common Multiple of 66270 and 66275 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66270 and 66275, than apply into the LCM equation.

GCF(66270,66275) = 5
LCM(66270,66275) = ( 66270 × 66275) / 5
LCM(66270,66275) = 4392044250 / 5
LCM(66270,66275) = 878408850

Least Common Multiple (LCM) of 66270 and 66275 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66270 and 66275. First we will calculate the prime factors of 66270 and 66275.

Prime Factorization of 66270

Prime factors of 66270 are 2, 3, 5, 47. Prime factorization of 66270 in exponential form is:

66270 = 21 × 31 × 51 × 472

Prime Factorization of 66275

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

66275 = 52 × 111 × 2411

Now multiplying the highest exponent prime factors to calculate the LCM of 66270 and 66275.

LCM(66270,66275) = 21 × 31 × 52 × 472 × 111 × 2411
LCM(66270,66275) = 878408850