What is the Least Common Multiple of 88418 and 88426?
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 88426 is 3909225034.
LCM(88418,88426) = 3909225034
Least Common Multiple of 88418 and 88426 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 88426, than apply into the LCM equation.
GCF(88418,88426) = 2
LCM(88418,88426) = ( 88418 × 88426) / 2
LCM(88418,88426) = 7818450068 / 2
LCM(88418,88426) = 3909225034
Least Common Multiple (LCM) of 88418 and 88426 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 88418 and 88426. First we will calculate the prime factors of 88418 and 88426.
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 88426
Prime factors of 88426 are 2, 13, 19, 179. Prime factorization of 88426 in exponential form is:
88426 = 21 × 131 × 191 × 1791
Now multiplying the highest exponent prime factors to calculate the LCM of 88418 and 88426.
LCM(88418,88426) = 21 × 111 × 40191 × 131 × 191 × 1791
LCM(88418,88426) = 3909225034
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