What is the Least Common Multiple of 88957 and 88963?
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 88957 and 88963 is 7913881591.
LCM(88957,88963) = 7913881591
Least Common Multiple of 88957 and 88963 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88957 and 88963, than apply into the LCM equation.
GCF(88957,88963) = 1
LCM(88957,88963) = ( 88957 × 88963) / 1
LCM(88957,88963) = 7913881591 / 1
LCM(88957,88963) = 7913881591
Least Common Multiple (LCM) of 88957 and 88963 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 88957 and 88963. First we will calculate the prime factors of 88957 and 88963.
Prime Factorization of 88957
Prime factors of 88957 are 11, 8087. Prime factorization of 88957 in exponential form is:
88957 = 111 × 80871
Prime Factorization of 88963
Prime factors of 88963 are 7, 71, 179. Prime factorization of 88963 in exponential form is:
88963 = 71 × 711 × 1791
Now multiplying the highest exponent prime factors to calculate the LCM of 88957 and 88963.
LCM(88957,88963) = 111 × 80871 × 71 × 711 × 1791
LCM(88957,88963) = 7913881591
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