What is the Least Common Multiple of 88891 and 88901?
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 88891 and 88901 is 7902498791.
LCM(88891,88901) = 7902498791
Least Common Multiple of 88891 and 88901 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88891 and 88901, than apply into the LCM equation.
GCF(88891,88901) = 1
LCM(88891,88901) = ( 88891 × 88901) / 1
LCM(88891,88901) = 7902498791 / 1
LCM(88891,88901) = 7902498791
Least Common Multiple (LCM) of 88891 and 88901 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 88891 and 88901. First we will calculate the prime factors of 88891 and 88901.
Prime Factorization of 88891
Prime factors of 88891 are 11, 8081. Prime factorization of 88891 in exponential form is:
88891 = 111 × 80811
Prime Factorization of 88901
Prime factors of 88901 are 19, 4679. Prime factorization of 88901 in exponential form is:
88901 = 191 × 46791
Now multiplying the highest exponent prime factors to calculate the LCM of 88891 and 88901.
LCM(88891,88901) = 111 × 80811 × 191 × 46791
LCM(88891,88901) = 7902498791
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