What is the Least Common Multiple of 92062 and 92071?
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 92062 and 92071 is 8476240402.
LCM(92062,92071) = 8476240402
Least Common Multiple of 92062 and 92071 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92062 and 92071, than apply into the LCM equation.
GCF(92062,92071) = 1
LCM(92062,92071) = ( 92062 × 92071) / 1
LCM(92062,92071) = 8476240402 / 1
LCM(92062,92071) = 8476240402
Least Common Multiple (LCM) of 92062 and 92071 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 92062 and 92071. First we will calculate the prime factors of 92062 and 92071.
Prime Factorization of 92062
Prime factors of 92062 are 2, 191, 241. Prime factorization of 92062 in exponential form is:
92062 = 21 × 1911 × 2411
Prime Factorization of 92071
Prime factors of 92071 are 7, 1879. Prime factorization of 92071 in exponential form is:
92071 = 72 × 18791
Now multiplying the highest exponent prime factors to calculate the LCM of 92062 and 92071.
LCM(92062,92071) = 21 × 1911 × 2411 × 72 × 18791
LCM(92062,92071) = 8476240402
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