What is the Least Common Multiple of 90313 and 90333?
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 90313 and 90333 is 8158244229.
LCM(90313,90333) = 8158244229
Least Common Multiple of 90313 and 90333 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90313 and 90333, than apply into the LCM equation.
GCF(90313,90333) = 1
LCM(90313,90333) = ( 90313 × 90333) / 1
LCM(90313,90333) = 8158244229 / 1
LCM(90313,90333) = 8158244229
Least Common Multiple (LCM) of 90313 and 90333 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 90313 and 90333. First we will calculate the prime factors of 90313 and 90333.
Prime Factorization of 90313
Prime factors of 90313 are 90313. Prime factorization of 90313 in exponential form is:
90313 = 903131
Prime Factorization of 90333
Prime factors of 90333 are 3, 10037. Prime factorization of 90333 in exponential form is:
90333 = 32 × 100371
Now multiplying the highest exponent prime factors to calculate the LCM of 90313 and 90333.
LCM(90313,90333) = 903131 × 32 × 100371
LCM(90313,90333) = 8158244229
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