What is the Least Common Multiple of 92104 and 92109?
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 92104 and 92109 is 8483607336.
LCM(92104,92109) = 8483607336
Least Common Multiple of 92104 and 92109 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92104 and 92109, than apply into the LCM equation.
GCF(92104,92109) = 1
LCM(92104,92109) = ( 92104 × 92109) / 1
LCM(92104,92109) = 8483607336 / 1
LCM(92104,92109) = 8483607336
Least Common Multiple (LCM) of 92104 and 92109 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 92104 and 92109. First we will calculate the prime factors of 92104 and 92109.
Prime Factorization of 92104
Prime factors of 92104 are 2, 29, 397. Prime factorization of 92104 in exponential form is:
92104 = 23 × 291 × 3971
Prime Factorization of 92109
Prime factors of 92109 are 3, 30703. Prime factorization of 92109 in exponential form is:
92109 = 31 × 307031
Now multiplying the highest exponent prime factors to calculate the LCM of 92104 and 92109.
LCM(92104,92109) = 23 × 291 × 3971 × 31 × 307031
LCM(92104,92109) = 8483607336
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