What is the Least Common Multiple of 88828 and 88843?
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 88828 and 88843 is 7891746004.
LCM(88828,88843) = 7891746004
Least Common Multiple of 88828 and 88843 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88828 and 88843, than apply into the LCM equation.
GCF(88828,88843) = 1
LCM(88828,88843) = ( 88828 × 88843) / 1
LCM(88828,88843) = 7891746004 / 1
LCM(88828,88843) = 7891746004
Least Common Multiple (LCM) of 88828 and 88843 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 88828 and 88843. First we will calculate the prime factors of 88828 and 88843.
Prime Factorization of 88828
Prime factors of 88828 are 2, 53, 419. Prime factorization of 88828 in exponential form is:
88828 = 22 × 531 × 4191
Prime Factorization of 88843
Prime factors of 88843 are 88843. Prime factorization of 88843 in exponential form is:
88843 = 888431
Now multiplying the highest exponent prime factors to calculate the LCM of 88828 and 88843.
LCM(88828,88843) = 22 × 531 × 4191 × 888431
LCM(88828,88843) = 7891746004
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