What is the Least Common Multiple of 92860 and 92864?
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 92860 and 92864 is 2155837760.
LCM(92860,92864) = 2155837760
Least Common Multiple of 92860 and 92864 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92860 and 92864, than apply into the LCM equation.
GCF(92860,92864) = 4
LCM(92860,92864) = ( 92860 × 92864) / 4
LCM(92860,92864) = 8623351040 / 4
LCM(92860,92864) = 2155837760
Least Common Multiple (LCM) of 92860 and 92864 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 92860 and 92864. First we will calculate the prime factors of 92860 and 92864.
Prime Factorization of 92860
Prime factors of 92860 are 2, 5, 4643. Prime factorization of 92860 in exponential form is:
92860 = 22 × 51 × 46431
Prime Factorization of 92864
Prime factors of 92864 are 2, 1451. Prime factorization of 92864 in exponential form is:
92864 = 26 × 14511
Now multiplying the highest exponent prime factors to calculate the LCM of 92860 and 92864.
LCM(92860,92864) = 26 × 51 × 46431 × 14511
LCM(92860,92864) = 2155837760
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