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What is the Least Common Multiple of 66836 and 66849?

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 66836 and 66849 is 4467919764.

LCM(66836,66849) = 4467919764

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Least Common Multiple of 66836 and 66849 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66836 and 66849, than apply into the LCM equation.

GCF(66836,66849) = 1
LCM(66836,66849) = ( 66836 × 66849) / 1
LCM(66836,66849) = 4467919764 / 1
LCM(66836,66849) = 4467919764

Least Common Multiple (LCM) of 66836 and 66849 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66836 and 66849. First we will calculate the prime factors of 66836 and 66849.

Prime Factorization of 66836

Prime factors of 66836 are 2, 7, 11, 31. Prime factorization of 66836 in exponential form is:

66836 = 22 × 72 × 111 × 311

Prime Factorization of 66849

Prime factors of 66849 are 3, 22283. Prime factorization of 66849 in exponential form is:

66849 = 31 × 222831

Now multiplying the highest exponent prime factors to calculate the LCM of 66836 and 66849.

LCM(66836,66849) = 22 × 72 × 111 × 311 × 31 × 222831
LCM(66836,66849) = 4467919764