What is the Least Common Multiple of 92084 and 92094?
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 92084 and 92094 is 4240191948.
LCM(92084,92094) = 4240191948
Least Common Multiple of 92084 and 92094 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92084 and 92094, than apply into the LCM equation.
GCF(92084,92094) = 2
LCM(92084,92094) = ( 92084 × 92094) / 2
LCM(92084,92094) = 8480383896 / 2
LCM(92084,92094) = 4240191948
Least Common Multiple (LCM) of 92084 and 92094 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 92084 and 92094. First we will calculate the prime factors of 92084 and 92094.
Prime Factorization of 92084
Prime factors of 92084 are 2, 23021. Prime factorization of 92084 in exponential form is:
92084 = 22 × 230211
Prime Factorization of 92094
Prime factors of 92094 are 2, 3, 15349. Prime factorization of 92094 in exponential form is:
92094 = 21 × 31 × 153491
Now multiplying the highest exponent prime factors to calculate the LCM of 92084 and 92094.
LCM(92084,92094) = 22 × 230211 × 31 × 153491
LCM(92084,92094) = 4240191948
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