What is the Least Common Multiple of 92714 and 92721?
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 92714 and 92721 is 8596534794.
LCM(92714,92721) = 8596534794
Least Common Multiple of 92714 and 92721 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92714 and 92721, than apply into the LCM equation.
GCF(92714,92721) = 1
LCM(92714,92721) = ( 92714 × 92721) / 1
LCM(92714,92721) = 8596534794 / 1
LCM(92714,92721) = 8596534794
Least Common Multiple (LCM) of 92714 and 92721 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 92714 and 92721. First we will calculate the prime factors of 92714 and 92721.
Prime Factorization of 92714
Prime factors of 92714 are 2, 151, 307. Prime factorization of 92714 in exponential form is:
92714 = 21 × 1511 × 3071
Prime Factorization of 92721
Prime factors of 92721 are 3, 31, 997. Prime factorization of 92721 in exponential form is:
92721 = 31 × 311 × 9971
Now multiplying the highest exponent prime factors to calculate the LCM of 92714 and 92721.
LCM(92714,92721) = 21 × 1511 × 3071 × 31 × 311 × 9971
LCM(92714,92721) = 8596534794
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