What is the Least Common Multiple of 90617 and 90622?
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 90617 and 90622 is 8211893774.
LCM(90617,90622) = 8211893774
Least Common Multiple of 90617 and 90622 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90617 and 90622, than apply into the LCM equation.
GCF(90617,90622) = 1
LCM(90617,90622) = ( 90617 × 90622) / 1
LCM(90617,90622) = 8211893774 / 1
LCM(90617,90622) = 8211893774
Least Common Multiple (LCM) of 90617 and 90622 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 90617 and 90622. First we will calculate the prime factors of 90617 and 90622.
Prime Factorization of 90617
Prime factors of 90617 are 90617. Prime factorization of 90617 in exponential form is:
90617 = 906171
Prime Factorization of 90622
Prime factors of 90622 are 2, 7, 6473. Prime factorization of 90622 in exponential form is:
90622 = 21 × 71 × 64731
Now multiplying the highest exponent prime factors to calculate the LCM of 90617 and 90622.
LCM(90617,90622) = 906171 × 21 × 71 × 64731
LCM(90617,90622) = 8211893774
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