What is the Least Common Multiple of 96100 and 96119?
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 96100 and 96119 is 9237035900.
LCM(96100,96119) = 9237035900
Least Common Multiple of 96100 and 96119 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96100 and 96119, than apply into the LCM equation.
GCF(96100,96119) = 1
LCM(96100,96119) = ( 96100 × 96119) / 1
LCM(96100,96119) = 9237035900 / 1
LCM(96100,96119) = 9237035900
Least Common Multiple (LCM) of 96100 and 96119 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 96100 and 96119. First we will calculate the prime factors of 96100 and 96119.
Prime Factorization of 96100
Prime factors of 96100 are 2, 5, 31. Prime factorization of 96100 in exponential form is:
96100 = 22 × 52 × 312
Prime Factorization of 96119
Prime factors of 96119 are 277, 347. Prime factorization of 96119 in exponential form is:
96119 = 2771 × 3471
Now multiplying the highest exponent prime factors to calculate the LCM of 96100 and 96119.
LCM(96100,96119) = 22 × 52 × 312 × 2771 × 3471
LCM(96100,96119) = 9237035900
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