What is the Least Common Multiple of 92003 and 92014?
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 92003 and 92014 is 8465564042.
LCM(92003,92014) = 8465564042
Least Common Multiple of 92003 and 92014 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92003 and 92014, than apply into the LCM equation.
GCF(92003,92014) = 1
LCM(92003,92014) = ( 92003 × 92014) / 1
LCM(92003,92014) = 8465564042 / 1
LCM(92003,92014) = 8465564042
Least Common Multiple (LCM) of 92003 and 92014 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 92003 and 92014. First we will calculate the prime factors of 92003 and 92014.
Prime Factorization of 92003
Prime factors of 92003 are 92003. Prime factorization of 92003 in exponential form is:
92003 = 920031
Prime Factorization of 92014
Prime factors of 92014 are 2, 13, 3539. Prime factorization of 92014 in exponential form is:
92014 = 21 × 131 × 35391
Now multiplying the highest exponent prime factors to calculate the LCM of 92003 and 92014.
LCM(92003,92014) = 920031 × 21 × 131 × 35391
LCM(92003,92014) = 8465564042
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