What is the Least Common Multiple of 92042 and 92051?
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 92042 and 92051 is 8472558142.
LCM(92042,92051) = 8472558142
Least Common Multiple of 92042 and 92051 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92042 and 92051, than apply into the LCM equation.
GCF(92042,92051) = 1
LCM(92042,92051) = ( 92042 × 92051) / 1
LCM(92042,92051) = 8472558142 / 1
LCM(92042,92051) = 8472558142
Least Common Multiple (LCM) of 92042 and 92051 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 92042 and 92051. First we will calculate the prime factors of 92042 and 92051.
Prime Factorization of 92042
Prime factors of 92042 are 2, 46021. Prime factorization of 92042 in exponential form is:
92042 = 21 × 460211
Prime Factorization of 92051
Prime factors of 92051 are 92051. Prime factorization of 92051 in exponential form is:
92051 = 920511
Now multiplying the highest exponent prime factors to calculate the LCM of 92042 and 92051.
LCM(92042,92051) = 21 × 460211 × 920511
LCM(92042,92051) = 8472558142
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