What is the Least Common Multiple of 96613 and 96622?
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 96613 and 96622 is 9334941286.
LCM(96613,96622) = 9334941286
Least Common Multiple of 96613 and 96622 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96613 and 96622, than apply into the LCM equation.
GCF(96613,96622) = 1
LCM(96613,96622) = ( 96613 × 96622) / 1
LCM(96613,96622) = 9334941286 / 1
LCM(96613,96622) = 9334941286
Least Common Multiple (LCM) of 96613 and 96622 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 96613 and 96622. First we will calculate the prime factors of 96613 and 96622.
Prime Factorization of 96613
Prime factors of 96613 are 11, 8783. Prime factorization of 96613 in exponential form is:
96613 = 111 × 87831
Prime Factorization of 96622
Prime factors of 96622 are 2, 48311. Prime factorization of 96622 in exponential form is:
96622 = 21 × 483111
Now multiplying the highest exponent prime factors to calculate the LCM of 96613 and 96622.
LCM(96613,96622) = 111 × 87831 × 21 × 483111
LCM(96613,96622) = 9334941286
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