What is the Least Common Multiple of 88839 and 88847?
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 88839 and 88847 is 7893078633.
LCM(88839,88847) = 7893078633
Least Common Multiple of 88839 and 88847 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88839 and 88847, than apply into the LCM equation.
GCF(88839,88847) = 1
LCM(88839,88847) = ( 88839 × 88847) / 1
LCM(88839,88847) = 7893078633 / 1
LCM(88839,88847) = 7893078633
Least Common Multiple (LCM) of 88839 and 88847 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 88839 and 88847. First we will calculate the prime factors of 88839 and 88847.
Prime Factorization of 88839
Prime factors of 88839 are 3, 9871. Prime factorization of 88839 in exponential form is:
88839 = 32 × 98711
Prime Factorization of 88847
Prime factors of 88847 are 11, 41, 197. Prime factorization of 88847 in exponential form is:
88847 = 111 × 411 × 1971
Now multiplying the highest exponent prime factors to calculate the LCM of 88839 and 88847.
LCM(88839,88847) = 32 × 98711 × 111 × 411 × 1971
LCM(88839,88847) = 7893078633
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