What is the Least Common Multiple of 88835 and 88851?
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 88835 and 88851 is 7893078585.
LCM(88835,88851) = 7893078585
Least Common Multiple of 88835 and 88851 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88835 and 88851, than apply into the LCM equation.
GCF(88835,88851) = 1
LCM(88835,88851) = ( 88835 × 88851) / 1
LCM(88835,88851) = 7893078585 / 1
LCM(88835,88851) = 7893078585
Least Common Multiple (LCM) of 88835 and 88851 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 88835 and 88851. First we will calculate the prime factors of 88835 and 88851.
Prime Factorization of 88835
Prime factors of 88835 are 5, 109, 163. Prime factorization of 88835 in exponential form is:
88835 = 51 × 1091 × 1631
Prime Factorization of 88851
Prime factors of 88851 are 3, 7, 4231. Prime factorization of 88851 in exponential form is:
88851 = 31 × 71 × 42311
Now multiplying the highest exponent prime factors to calculate the LCM of 88835 and 88851.
LCM(88835,88851) = 51 × 1091 × 1631 × 31 × 71 × 42311
LCM(88835,88851) = 7893078585
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