What is the Least Common Multiple of 88313 and 88318?
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 88313 and 88318 is 7799627534.
LCM(88313,88318) = 7799627534
Least Common Multiple of 88313 and 88318 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88313 and 88318, than apply into the LCM equation.
GCF(88313,88318) = 1
LCM(88313,88318) = ( 88313 × 88318) / 1
LCM(88313,88318) = 7799627534 / 1
LCM(88313,88318) = 7799627534
Least Common Multiple (LCM) of 88313 and 88318 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 88313 and 88318. First we will calculate the prime factors of 88313 and 88318.
Prime Factorization of 88313
Prime factors of 88313 are 47, 1879. Prime factorization of 88313 in exponential form is:
88313 = 471 × 18791
Prime Factorization of 88318
Prime factors of 88318 are 2, 44159. Prime factorization of 88318 in exponential form is:
88318 = 21 × 441591
Now multiplying the highest exponent prime factors to calculate the LCM of 88313 and 88318.
LCM(88313,88318) = 471 × 18791 × 21 × 441591
LCM(88313,88318) = 7799627534
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