What is the Least Common Multiple of 88827 and 88834?
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 88834 is 7890857718.
LCM(88827,88834) = 7890857718
Least Common Multiple of 88827 and 88834 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 88834, than apply into the LCM equation.
GCF(88827,88834) = 1
LCM(88827,88834) = ( 88827 × 88834) / 1
LCM(88827,88834) = 7890857718 / 1
LCM(88827,88834) = 7890857718
Least Common Multiple (LCM) of 88827 and 88834 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 88827 and 88834. First we will calculate the prime factors of 88827 and 88834.
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 88834
Prime factors of 88834 are 2, 44417. Prime factorization of 88834 in exponential form is:
88834 = 21 × 444171
Now multiplying the highest exponent prime factors to calculate the LCM of 88827 and 88834.
LCM(88827,88834) = 31 × 291 × 10211 × 21 × 444171
LCM(88827,88834) = 7890857718
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