What is the Least Common Multiple of 8891 and 8895?
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 8891 and 8895 is 79085445.
LCM(8891,8895) = 79085445
Least Common Multiple of 8891 and 8895 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8891 and 8895, than apply into the LCM equation.
GCF(8891,8895) = 1
LCM(8891,8895) = ( 8891 × 8895) / 1
LCM(8891,8895) = 79085445 / 1
LCM(8891,8895) = 79085445
Least Common Multiple (LCM) of 8891 and 8895 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 8891 and 8895. First we will calculate the prime factors of 8891 and 8895.
Prime Factorization of 8891
Prime factors of 8891 are 17, 523. Prime factorization of 8891 in exponential form is:
8891 = 171 × 5231
Prime Factorization of 8895
Prime factors of 8895 are 3, 5, 593. Prime factorization of 8895 in exponential form is:
8895 = 31 × 51 × 5931
Now multiplying the highest exponent prime factors to calculate the LCM of 8891 and 8895.
LCM(8891,8895) = 171 × 5231 × 31 × 51 × 5931
LCM(8891,8895) = 79085445
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