What is the Least Common Multiple of 89398 and 89415?
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 89398 and 89415 is 7993522170.
LCM(89398,89415) = 7993522170
Least Common Multiple of 89398 and 89415 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89398 and 89415, than apply into the LCM equation.
GCF(89398,89415) = 1
LCM(89398,89415) = ( 89398 × 89415) / 1
LCM(89398,89415) = 7993522170 / 1
LCM(89398,89415) = 7993522170
Least Common Multiple (LCM) of 89398 and 89415 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 89398 and 89415. First we will calculate the prime factors of 89398 and 89415.
Prime Factorization of 89398
Prime factors of 89398 are 2, 44699. Prime factorization of 89398 in exponential form is:
89398 = 21 × 446991
Prime Factorization of 89415
Prime factors of 89415 are 3, 5, 1987. Prime factorization of 89415 in exponential form is:
89415 = 32 × 51 × 19871
Now multiplying the highest exponent prime factors to calculate the LCM of 89398 and 89415.
LCM(89398,89415) = 21 × 446991 × 32 × 51 × 19871
LCM(89398,89415) = 7993522170
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