What is the Least Common Multiple of 92721 and 92726?
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 92721 and 92726 is 8597647446.
LCM(92721,92726) = 8597647446
Least Common Multiple of 92721 and 92726 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92721 and 92726, than apply into the LCM equation.
GCF(92721,92726) = 1
LCM(92721,92726) = ( 92721 × 92726) / 1
LCM(92721,92726) = 8597647446 / 1
LCM(92721,92726) = 8597647446
Least Common Multiple (LCM) of 92721 and 92726 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 92721 and 92726. First we will calculate the prime factors of 92721 and 92726.
Prime Factorization of 92721
Prime factors of 92721 are 3, 31, 997. Prime factorization of 92721 in exponential form is:
92721 = 31 × 311 × 9971
Prime Factorization of 92726
Prime factors of 92726 are 2, 71, 653. Prime factorization of 92726 in exponential form is:
92726 = 21 × 711 × 6531
Now multiplying the highest exponent prime factors to calculate the LCM of 92721 and 92726.
LCM(92721,92726) = 31 × 311 × 9971 × 21 × 711 × 6531
LCM(92721,92726) = 8597647446
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