What is the Least Common Multiple of 92670 and 92689?
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 92670 and 92689 is 8589489630.
LCM(92670,92689) = 8589489630
Least Common Multiple of 92670 and 92689 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92670 and 92689, than apply into the LCM equation.
GCF(92670,92689) = 1
LCM(92670,92689) = ( 92670 × 92689) / 1
LCM(92670,92689) = 8589489630 / 1
LCM(92670,92689) = 8589489630
Least Common Multiple (LCM) of 92670 and 92689 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 92670 and 92689. First we will calculate the prime factors of 92670 and 92689.
Prime Factorization of 92670
Prime factors of 92670 are 2, 3, 5, 3089. Prime factorization of 92670 in exponential form is:
92670 = 21 × 31 × 51 × 30891
Prime Factorization of 92689
Prime factors of 92689 are 59, 1571. Prime factorization of 92689 in exponential form is:
92689 = 591 × 15711
Now multiplying the highest exponent prime factors to calculate the LCM of 92670 and 92689.
LCM(92670,92689) = 21 × 31 × 51 × 30891 × 591 × 15711
LCM(92670,92689) = 8589489630
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