What is the Least Common Multiple of 88843 and 88848?
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 88843 and 88848 is 7893522864.
LCM(88843,88848) = 7893522864
Least Common Multiple of 88843 and 88848 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88843 and 88848, than apply into the LCM equation.
GCF(88843,88848) = 1
LCM(88843,88848) = ( 88843 × 88848) / 1
LCM(88843,88848) = 7893522864 / 1
LCM(88843,88848) = 7893522864
Least Common Multiple (LCM) of 88843 and 88848 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 88843 and 88848. First we will calculate the prime factors of 88843 and 88848.
Prime Factorization of 88843
Prime factors of 88843 are 88843. Prime factorization of 88843 in exponential form is:
88843 = 888431
Prime Factorization of 88848
Prime factors of 88848 are 2, 3, 617. Prime factorization of 88848 in exponential form is:
88848 = 24 × 32 × 6171
Now multiplying the highest exponent prime factors to calculate the LCM of 88843 and 88848.
LCM(88843,88848) = 888431 × 24 × 32 × 6171
LCM(88843,88848) = 7893522864
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