What is the Least Common Multiple of 96441 and 96445?
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 96441 and 96445 is 9301252245.
LCM(96441,96445) = 9301252245
Least Common Multiple of 96441 and 96445 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96441 and 96445, than apply into the LCM equation.
GCF(96441,96445) = 1
LCM(96441,96445) = ( 96441 × 96445) / 1
LCM(96441,96445) = 9301252245 / 1
LCM(96441,96445) = 9301252245
Least Common Multiple (LCM) of 96441 and 96445 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 96441 and 96445. First we will calculate the prime factors of 96441 and 96445.
Prime Factorization of 96441
Prime factors of 96441 are 3, 17, 31, 61. Prime factorization of 96441 in exponential form is:
96441 = 31 × 171 × 311 × 611
Prime Factorization of 96445
Prime factors of 96445 are 5, 19289. Prime factorization of 96445 in exponential form is:
96445 = 51 × 192891
Now multiplying the highest exponent prime factors to calculate the LCM of 96441 and 96445.
LCM(96441,96445) = 31 × 171 × 311 × 611 × 51 × 192891
LCM(96441,96445) = 9301252245
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