What is the Least Common Multiple of 96326 and 96337?
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 96326 and 96337 is 9279757862.
LCM(96326,96337) = 9279757862
Least Common Multiple of 96326 and 96337 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96326 and 96337, than apply into the LCM equation.
GCF(96326,96337) = 1
LCM(96326,96337) = ( 96326 × 96337) / 1
LCM(96326,96337) = 9279757862 / 1
LCM(96326,96337) = 9279757862
Least Common Multiple (LCM) of 96326 and 96337 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 96326 and 96337. First we will calculate the prime factors of 96326 and 96337.
Prime Factorization of 96326
Prime factors of 96326 are 2, 48163. Prime factorization of 96326 in exponential form is:
96326 = 21 × 481631
Prime Factorization of 96337
Prime factors of 96337 are 96337. Prime factorization of 96337 in exponential form is:
96337 = 963371
Now multiplying the highest exponent prime factors to calculate the LCM of 96326 and 96337.
LCM(96326,96337) = 21 × 481631 × 963371
LCM(96326,96337) = 9279757862
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