What is the Least Common Multiple of 88417 and 88428?
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 88417 and 88428 is 7818538476.
LCM(88417,88428) = 7818538476
Least Common Multiple of 88417 and 88428 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88417 and 88428, than apply into the LCM equation.
GCF(88417,88428) = 1
LCM(88417,88428) = ( 88417 × 88428) / 1
LCM(88417,88428) = 7818538476 / 1
LCM(88417,88428) = 7818538476
Least Common Multiple (LCM) of 88417 and 88428 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 88417 and 88428. First we will calculate the prime factors of 88417 and 88428.
Prime Factorization of 88417
Prime factors of 88417 are 7, 17, 743. Prime factorization of 88417 in exponential form is:
88417 = 71 × 171 × 7431
Prime Factorization of 88428
Prime factors of 88428 are 2, 3, 7369. Prime factorization of 88428 in exponential form is:
88428 = 22 × 31 × 73691
Now multiplying the highest exponent prime factors to calculate the LCM of 88417 and 88428.
LCM(88417,88428) = 71 × 171 × 7431 × 22 × 31 × 73691
LCM(88417,88428) = 7818538476
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