What is the Least Common Multiple of 88879 and 88886?
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 88879 and 88886 is 1128585542.
LCM(88879,88886) = 1128585542
Least Common Multiple of 88879 and 88886 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88879 and 88886, than apply into the LCM equation.
GCF(88879,88886) = 7
LCM(88879,88886) = ( 88879 × 88886) / 7
LCM(88879,88886) = 7900098794 / 7
LCM(88879,88886) = 1128585542
Least Common Multiple (LCM) of 88879 and 88886 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 88879 and 88886. First we will calculate the prime factors of 88879 and 88886.
Prime Factorization of 88879
Prime factors of 88879 are 7, 12697. Prime factorization of 88879 in exponential form is:
88879 = 71 × 126971
Prime Factorization of 88886
Prime factors of 88886 are 2, 7, 907. Prime factorization of 88886 in exponential form is:
88886 = 21 × 72 × 9071
Now multiplying the highest exponent prime factors to calculate the LCM of 88879 and 88886.
LCM(88879,88886) = 72 × 126971 × 21 × 9071
LCM(88879,88886) = 1128585542
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