What is the Least Common Multiple of 88827 and 88833?
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 88827 and 88833 is 2630256297.
LCM(88827,88833) = 2630256297
Least Common Multiple of 88827 and 88833 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88827 and 88833, than apply into the LCM equation.
GCF(88827,88833) = 3
LCM(88827,88833) = ( 88827 × 88833) / 3
LCM(88827,88833) = 7890768891 / 3
LCM(88827,88833) = 2630256297
Least Common Multiple (LCM) of 88827 and 88833 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 88827 and 88833. First we will calculate the prime factors of 88827 and 88833.
Prime Factorization of 88827
Prime factors of 88827 are 3, 29, 1021. Prime factorization of 88827 in exponential form is:
88827 = 31 × 291 × 10211
Prime Factorization of 88833
Prime factors of 88833 are 3, 29611. Prime factorization of 88833 in exponential form is:
88833 = 31 × 296111
Now multiplying the highest exponent prime factors to calculate the LCM of 88827 and 88833.
LCM(88827,88833) = 31 × 291 × 10211 × 296111
LCM(88827,88833) = 2630256297
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