What is the Least Common Multiple of 96466 and 96481?
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 96466 and 96481 is 9307136146.
LCM(96466,96481) = 9307136146
Least Common Multiple of 96466 and 96481 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96466 and 96481, than apply into the LCM equation.
GCF(96466,96481) = 1
LCM(96466,96481) = ( 96466 × 96481) / 1
LCM(96466,96481) = 9307136146 / 1
LCM(96466,96481) = 9307136146
Least Common Multiple (LCM) of 96466 and 96481 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 96466 and 96481. First we will calculate the prime factors of 96466 and 96481.
Prime Factorization of 96466
Prime factors of 96466 are 2, 139, 347. Prime factorization of 96466 in exponential form is:
96466 = 21 × 1391 × 3471
Prime Factorization of 96481
Prime factors of 96481 are 7, 11, 179. Prime factorization of 96481 in exponential form is:
96481 = 72 × 111 × 1791
Now multiplying the highest exponent prime factors to calculate the LCM of 96466 and 96481.
LCM(96466,96481) = 21 × 1391 × 3471 × 72 × 111 × 1791
LCM(96466,96481) = 9307136146
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