What is the Least Common Multiple of 92108 and 92118?
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 92108 and 92118 is 4242402372.
LCM(92108,92118) = 4242402372
Least Common Multiple of 92108 and 92118 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92108 and 92118, than apply into the LCM equation.
GCF(92108,92118) = 2
LCM(92108,92118) = ( 92108 × 92118) / 2
LCM(92108,92118) = 8484804744 / 2
LCM(92108,92118) = 4242402372
Least Common Multiple (LCM) of 92108 and 92118 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 92108 and 92118. First we will calculate the prime factors of 92108 and 92118.
Prime Factorization of 92108
Prime factors of 92108 are 2, 23027. Prime factorization of 92108 in exponential form is:
92108 = 22 × 230271
Prime Factorization of 92118
Prime factors of 92118 are 2, 3, 13, 1181. Prime factorization of 92118 in exponential form is:
92118 = 21 × 31 × 131 × 11811
Now multiplying the highest exponent prime factors to calculate the LCM of 92108 and 92118.
LCM(92108,92118) = 22 × 230271 × 31 × 131 × 11811
LCM(92108,92118) = 4242402372
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