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What is the Least Common Multiple of 66775 and 66789?

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 66775 and 66789 is 4459835475.

LCM(66775,66789) = 4459835475

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Least Common Multiple of 66775 and 66789 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66775 and 66789, than apply into the LCM equation.

GCF(66775,66789) = 1
LCM(66775,66789) = ( 66775 × 66789) / 1
LCM(66775,66789) = 4459835475 / 1
LCM(66775,66789) = 4459835475

Least Common Multiple (LCM) of 66775 and 66789 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66775 and 66789. First we will calculate the prime factors of 66775 and 66789.

Prime Factorization of 66775

Prime factors of 66775 are 5, 2671. Prime factorization of 66775 in exponential form is:

66775 = 52 × 26711

Prime Factorization of 66789

Prime factors of 66789 are 3, 41, 181. Prime factorization of 66789 in exponential form is:

66789 = 32 × 411 × 1811

Now multiplying the highest exponent prime factors to calculate the LCM of 66775 and 66789.

LCM(66775,66789) = 52 × 26711 × 32 × 411 × 1811
LCM(66775,66789) = 4459835475