What is the Least Common Multiple of 88141 and 88161?
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 88141 and 88161 is 7770598701.
LCM(88141,88161) = 7770598701
Least Common Multiple of 88141 and 88161 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88141 and 88161, than apply into the LCM equation.
GCF(88141,88161) = 1
LCM(88141,88161) = ( 88141 × 88161) / 1
LCM(88141,88161) = 7770598701 / 1
LCM(88141,88161) = 7770598701
Least Common Multiple (LCM) of 88141 and 88161 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 88141 and 88161. First we will calculate the prime factors of 88141 and 88161.
Prime Factorization of 88141
Prime factors of 88141 are 19, 4639. Prime factorization of 88141 in exponential form is:
88141 = 191 × 46391
Prime Factorization of 88161
Prime factors of 88161 are 3, 29387. Prime factorization of 88161 in exponential form is:
88161 = 31 × 293871
Now multiplying the highest exponent prime factors to calculate the LCM of 88141 and 88161.
LCM(88141,88161) = 191 × 46391 × 31 × 293871
LCM(88141,88161) = 7770598701
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