What is the Least Common Multiple of 88411 and 88418?
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 88411 and 88418 is 7817123798.
LCM(88411,88418) = 7817123798
Least Common Multiple of 88411 and 88418 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88411 and 88418, than apply into the LCM equation.
GCF(88411,88418) = 1
LCM(88411,88418) = ( 88411 × 88418) / 1
LCM(88411,88418) = 7817123798 / 1
LCM(88411,88418) = 7817123798
Least Common Multiple (LCM) of 88411 and 88418 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 88411 and 88418. First we will calculate the prime factors of 88411 and 88418.
Prime Factorization of 88411
Prime factors of 88411 are 88411. Prime factorization of 88411 in exponential form is:
88411 = 884111
Prime Factorization of 88418
Prime factors of 88418 are 2, 11, 4019. Prime factorization of 88418 in exponential form is:
88418 = 21 × 111 × 40191
Now multiplying the highest exponent prime factors to calculate the LCM of 88411 and 88418.
LCM(88411,88418) = 884111 × 21 × 111 × 40191
LCM(88411,88418) = 7817123798
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