What is the Least Common Multiple of 66790 and 66798?
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 66790 and 66798 is 2230719210.
LCM(66790,66798) = 2230719210
Least Common Multiple of 66790 and 66798 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66790 and 66798, than apply into the LCM equation.
GCF(66790,66798) = 2
LCM(66790,66798) = ( 66790 × 66798) / 2
LCM(66790,66798) = 4461438420 / 2
LCM(66790,66798) = 2230719210
Least Common Multiple (LCM) of 66790 and 66798 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 66790 and 66798. First we will calculate the prime factors of 66790 and 66798.
Prime Factorization of 66790
Prime factors of 66790 are 2, 5, 6679. Prime factorization of 66790 in exponential form is:
66790 = 21 × 51 × 66791
Prime Factorization of 66798
Prime factors of 66798 are 2, 3, 1237. Prime factorization of 66798 in exponential form is:
66798 = 21 × 33 × 12371
Now multiplying the highest exponent prime factors to calculate the LCM of 66790 and 66798.
LCM(66790,66798) = 21 × 51 × 66791 × 33 × 12371
LCM(66790,66798) = 2230719210
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