What is the Least Common Multiple of 66789 and 66793?
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 66789 and 66793 is 4461037677.
LCM(66789,66793) = 4461037677
Least Common Multiple of 66789 and 66793 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66789 and 66793, than apply into the LCM equation.
GCF(66789,66793) = 1
LCM(66789,66793) = ( 66789 × 66793) / 1
LCM(66789,66793) = 4461037677 / 1
LCM(66789,66793) = 4461037677
Least Common Multiple (LCM) of 66789 and 66793 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 66789 and 66793. First we will calculate the prime factors of 66789 and 66793.
Prime Factorization of 66789
Prime factors of 66789 are 3, 41, 181. Prime factorization of 66789 in exponential form is:
66789 = 32 × 411 × 1811
Prime Factorization of 66793
Prime factors of 66793 are 17, 3929. Prime factorization of 66793 in exponential form is:
66793 = 171 × 39291
Now multiplying the highest exponent prime factors to calculate the LCM of 66789 and 66793.
LCM(66789,66793) = 32 × 411 × 1811 × 171 × 39291
LCM(66789,66793) = 4461037677
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