What is the Least Common Multiple of 92423 and 92431?
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 92423 and 92431 is 8542750313.
LCM(92423,92431) = 8542750313
Least Common Multiple of 92423 and 92431 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92423 and 92431, than apply into the LCM equation.
GCF(92423,92431) = 1
LCM(92423,92431) = ( 92423 × 92431) / 1
LCM(92423,92431) = 8542750313 / 1
LCM(92423,92431) = 8542750313
Least Common Multiple (LCM) of 92423 and 92431 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 92423 and 92431. First we will calculate the prime factors of 92423 and 92431.
Prime Factorization of 92423
Prime factors of 92423 are 29, 3187. Prime factorization of 92423 in exponential form is:
92423 = 291 × 31871
Prime Factorization of 92431
Prime factors of 92431 are 92431. Prime factorization of 92431 in exponential form is:
92431 = 924311
Now multiplying the highest exponent prime factors to calculate the LCM of 92423 and 92431.
LCM(92423,92431) = 291 × 31871 × 924311
LCM(92423,92431) = 8542750313
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