What is the Least Common Multiple of 96227 and 96244?
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 96227 and 96244 is 9261271388.
LCM(96227,96244) = 9261271388
Least Common Multiple of 96227 and 96244 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96227 and 96244, than apply into the LCM equation.
GCF(96227,96244) = 1
LCM(96227,96244) = ( 96227 × 96244) / 1
LCM(96227,96244) = 9261271388 / 1
LCM(96227,96244) = 9261271388
Least Common Multiple (LCM) of 96227 and 96244 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 96227 and 96244. First we will calculate the prime factors of 96227 and 96244.
Prime Factorization of 96227
Prime factors of 96227 are 41, 2347. Prime factorization of 96227 in exponential form is:
96227 = 411 × 23471
Prime Factorization of 96244
Prime factors of 96244 are 2, 24061. Prime factorization of 96244 in exponential form is:
96244 = 22 × 240611
Now multiplying the highest exponent prime factors to calculate the LCM of 96227 and 96244.
LCM(96227,96244) = 411 × 23471 × 22 × 240611
LCM(96227,96244) = 9261271388
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