What is the Least Common Multiple of 88534 and 88554?
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 88534 and 88554 is 3920019918.
LCM(88534,88554) = 3920019918
Least Common Multiple of 88534 and 88554 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88534 and 88554, than apply into the LCM equation.
GCF(88534,88554) = 2
LCM(88534,88554) = ( 88534 × 88554) / 2
LCM(88534,88554) = 7840039836 / 2
LCM(88534,88554) = 3920019918
Least Common Multiple (LCM) of 88534 and 88554 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 88534 and 88554. First we will calculate the prime factors of 88534 and 88554.
Prime Factorization of 88534
Prime factors of 88534 are 2, 44267. Prime factorization of 88534 in exponential form is:
88534 = 21 × 442671
Prime Factorization of 88554
Prime factors of 88554 are 2, 3, 14759. Prime factorization of 88554 in exponential form is:
88554 = 21 × 31 × 147591
Now multiplying the highest exponent prime factors to calculate the LCM of 88534 and 88554.
LCM(88534,88554) = 21 × 442671 × 31 × 147591
LCM(88534,88554) = 3920019918
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