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What is the Least Common Multiple of 66784 and 66801?

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 66784 and 66801 is 4461237984.

LCM(66784,66801) = 4461237984

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Least Common Multiple of 66784 and 66801 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66784 and 66801, than apply into the LCM equation.

GCF(66784,66801) = 1
LCM(66784,66801) = ( 66784 × 66801) / 1
LCM(66784,66801) = 4461237984 / 1
LCM(66784,66801) = 4461237984

Least Common Multiple (LCM) of 66784 and 66801 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66784 and 66801. First we will calculate the prime factors of 66784 and 66801.

Prime Factorization of 66784

Prime factors of 66784 are 2, 2087. Prime factorization of 66784 in exponential form is:

66784 = 25 × 20871

Prime Factorization of 66801

Prime factors of 66801 are 3, 7, 3181. Prime factorization of 66801 in exponential form is:

66801 = 31 × 71 × 31811

Now multiplying the highest exponent prime factors to calculate the LCM of 66784 and 66801.

LCM(66784,66801) = 25 × 20871 × 31 × 71 × 31811
LCM(66784,66801) = 4461237984