What is the Least Common Multiple of 92193 and 92197?
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 92193 and 92197 is 8499918021.
LCM(92193,92197) = 8499918021
Least Common Multiple of 92193 and 92197 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92193 and 92197, than apply into the LCM equation.
GCF(92193,92197) = 1
LCM(92193,92197) = ( 92193 × 92197) / 1
LCM(92193,92197) = 8499918021 / 1
LCM(92193,92197) = 8499918021
Least Common Multiple (LCM) of 92193 and 92197 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 92193 and 92197. First we will calculate the prime factors of 92193 and 92197.
Prime Factorization of 92193
Prime factors of 92193 are 3, 79, 389. Prime factorization of 92193 in exponential form is:
92193 = 31 × 791 × 3891
Prime Factorization of 92197
Prime factors of 92197 are 7, 13171. Prime factorization of 92197 in exponential form is:
92197 = 71 × 131711
Now multiplying the highest exponent prime factors to calculate the LCM of 92193 and 92197.
LCM(92193,92197) = 31 × 791 × 3891 × 71 × 131711
LCM(92193,92197) = 8499918021
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