What is the Least Common Multiple of 88321 and 88329?
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 88321 and 88329 is 7801305609.
LCM(88321,88329) = 7801305609
Least Common Multiple of 88321 and 88329 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88321 and 88329, than apply into the LCM equation.
GCF(88321,88329) = 1
LCM(88321,88329) = ( 88321 × 88329) / 1
LCM(88321,88329) = 7801305609 / 1
LCM(88321,88329) = 7801305609
Least Common Multiple (LCM) of 88321 and 88329 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 88321 and 88329. First we will calculate the prime factors of 88321 and 88329.
Prime Factorization of 88321
Prime factors of 88321 are 88321. Prime factorization of 88321 in exponential form is:
88321 = 883211
Prime Factorization of 88329
Prime factors of 88329 are 3, 29443. Prime factorization of 88329 in exponential form is:
88329 = 31 × 294431
Now multiplying the highest exponent prime factors to calculate the LCM of 88321 and 88329.
LCM(88321,88329) = 883211 × 31 × 294431
LCM(88321,88329) = 7801305609
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