What is the Least Common Multiple of 66769 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 66769 and 66789 is 4459434741.
LCM(66769,66789) = 4459434741
Least Common Multiple of 66769 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 66769 and 66789, than apply into the LCM equation.
GCF(66769,66789) = 1
LCM(66769,66789) = ( 66769 × 66789) / 1
LCM(66769,66789) = 4459434741 / 1
LCM(66769,66789) = 4459434741
Least Common Multiple (LCM) of 66769 and 66789 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 66769 and 66789. First we will calculate the prime factors of 66769 and 66789.
Prime Factorization of 66769
Prime factors of 66769 are 23, 2903. Prime factorization of 66769 in exponential form is:
66769 = 231 × 29031
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 66769 and 66789.
LCM(66769,66789) = 231 × 29031 × 32 × 411 × 1811
LCM(66769,66789) = 4459434741
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