What is the Least Common Multiple of 88418 and 88423?
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 88418 and 88423 is 7818184814.
LCM(88418,88423) = 7818184814
Least Common Multiple of 88418 and 88423 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88418 and 88423, than apply into the LCM equation.
GCF(88418,88423) = 1
LCM(88418,88423) = ( 88418 × 88423) / 1
LCM(88418,88423) = 7818184814 / 1
LCM(88418,88423) = 7818184814
Least Common Multiple (LCM) of 88418 and 88423 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 88418 and 88423. First we will calculate the prime factors of 88418 and 88423.
Prime Factorization of 88418
Prime factors of 88418 are 2, 11, 4019. Prime factorization of 88418 in exponential form is:
88418 = 21 × 111 × 40191
Prime Factorization of 88423
Prime factors of 88423 are 88423. Prime factorization of 88423 in exponential form is:
88423 = 884231
Now multiplying the highest exponent prime factors to calculate the LCM of 88418 and 88423.
LCM(88418,88423) = 21 × 111 × 40191 × 884231
LCM(88418,88423) = 7818184814
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