What is the Least Common Multiple of 90337 and 90351?
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 90337 and 90351 is 8162038287.
LCM(90337,90351) = 8162038287
Least Common Multiple of 90337 and 90351 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90337 and 90351, than apply into the LCM equation.
GCF(90337,90351) = 1
LCM(90337,90351) = ( 90337 × 90351) / 1
LCM(90337,90351) = 8162038287 / 1
LCM(90337,90351) = 8162038287
Least Common Multiple (LCM) of 90337 and 90351 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 90337 and 90351. First we will calculate the prime factors of 90337 and 90351.
Prime Factorization of 90337
Prime factors of 90337 are 13, 6949. Prime factorization of 90337 in exponential form is:
90337 = 131 × 69491
Prime Factorization of 90351
Prime factors of 90351 are 3, 10039. Prime factorization of 90351 in exponential form is:
90351 = 32 × 100391
Now multiplying the highest exponent prime factors to calculate the LCM of 90337 and 90351.
LCM(90337,90351) = 131 × 69491 × 32 × 100391
LCM(90337,90351) = 8162038287
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