What is the Least Common Multiple of 92293 and 92301?
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 92293 and 92301 is 8518736193.
LCM(92293,92301) = 8518736193
Least Common Multiple of 92293 and 92301 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92293 and 92301, than apply into the LCM equation.
GCF(92293,92301) = 1
LCM(92293,92301) = ( 92293 × 92301) / 1
LCM(92293,92301) = 8518736193 / 1
LCM(92293,92301) = 8518736193
Least Common Multiple (LCM) of 92293 and 92301 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 92293 and 92301. First we will calculate the prime factors of 92293 and 92301.
Prime Factorization of 92293
Prime factors of 92293 are 17, 61, 89. Prime factorization of 92293 in exponential form is:
92293 = 171 × 611 × 891
Prime Factorization of 92301
Prime factors of 92301 are 3, 11, 2797. Prime factorization of 92301 in exponential form is:
92301 = 31 × 111 × 27971
Now multiplying the highest exponent prime factors to calculate the LCM of 92293 and 92301.
LCM(92293,92301) = 171 × 611 × 891 × 31 × 111 × 27971
LCM(92293,92301) = 8518736193
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