What is the Least Common Multiple of 96122 and 96131?
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 96122 and 96131 is 9240303982.
LCM(96122,96131) = 9240303982
Least Common Multiple of 96122 and 96131 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96122 and 96131, than apply into the LCM equation.
GCF(96122,96131) = 1
LCM(96122,96131) = ( 96122 × 96131) / 1
LCM(96122,96131) = 9240303982 / 1
LCM(96122,96131) = 9240303982
Least Common Multiple (LCM) of 96122 and 96131 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 96122 and 96131. First we will calculate the prime factors of 96122 and 96131.
Prime Factorization of 96122
Prime factors of 96122 are 2, 13, 3697. Prime factorization of 96122 in exponential form is:
96122 = 21 × 131 × 36971
Prime Factorization of 96131
Prime factors of 96131 are 7, 31, 443. Prime factorization of 96131 in exponential form is:
96131 = 71 × 311 × 4431
Now multiplying the highest exponent prime factors to calculate the LCM of 96122 and 96131.
LCM(96122,96131) = 21 × 131 × 36971 × 71 × 311 × 4431
LCM(96122,96131) = 9240303982
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