What is the Least Common Multiple of 35096 and 35116?
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 35096 and 35116 is 308107784.
LCM(35096,35116) = 308107784
Least Common Multiple of 35096 and 35116 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35096 and 35116, than apply into the LCM equation.
GCF(35096,35116) = 4
LCM(35096,35116) = ( 35096 × 35116) / 4
LCM(35096,35116) = 1232431136 / 4
LCM(35096,35116) = 308107784
Least Common Multiple (LCM) of 35096 and 35116 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 35096 and 35116. First we will calculate the prime factors of 35096 and 35116.
Prime Factorization of 35096
Prime factors of 35096 are 2, 41, 107. Prime factorization of 35096 in exponential form is:
35096 = 23 × 411 × 1071
Prime Factorization of 35116
Prime factors of 35116 are 2, 8779. Prime factorization of 35116 in exponential form is:
35116 = 22 × 87791
Now multiplying the highest exponent prime factors to calculate the LCM of 35096 and 35116.
LCM(35096,35116) = 23 × 411 × 1071 × 87791
LCM(35096,35116) = 308107784
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