What is the Least Common Multiple of 88847 and 88854?
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 88847 and 88854 is 7894411338.
LCM(88847,88854) = 7894411338
Least Common Multiple of 88847 and 88854 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88847 and 88854, than apply into the LCM equation.
GCF(88847,88854) = 1
LCM(88847,88854) = ( 88847 × 88854) / 1
LCM(88847,88854) = 7894411338 / 1
LCM(88847,88854) = 7894411338
Least Common Multiple (LCM) of 88847 and 88854 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 88847 and 88854. First we will calculate the prime factors of 88847 and 88854.
Prime Factorization of 88847
Prime factors of 88847 are 11, 41, 197. Prime factorization of 88847 in exponential form is:
88847 = 111 × 411 × 1971
Prime Factorization of 88854
Prime factors of 88854 are 2, 3, 59, 251. Prime factorization of 88854 in exponential form is:
88854 = 21 × 31 × 591 × 2511
Now multiplying the highest exponent prime factors to calculate the LCM of 88847 and 88854.
LCM(88847,88854) = 111 × 411 × 1971 × 21 × 31 × 591 × 2511
LCM(88847,88854) = 7894411338
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