What is the Least Common Multiple of 92486 and 92491?
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 92486 and 92491 is 8554122626.
LCM(92486,92491) = 8554122626
Least Common Multiple of 92486 and 92491 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92486 and 92491, than apply into the LCM equation.
GCF(92486,92491) = 1
LCM(92486,92491) = ( 92486 × 92491) / 1
LCM(92486,92491) = 8554122626 / 1
LCM(92486,92491) = 8554122626
Least Common Multiple (LCM) of 92486 and 92491 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 92486 and 92491. First we will calculate the prime factors of 92486 and 92491.
Prime Factorization of 92486
Prime factors of 92486 are 2, 131, 353. Prime factorization of 92486 in exponential form is:
92486 = 21 × 1311 × 3531
Prime Factorization of 92491
Prime factors of 92491 are 7, 73, 181. Prime factorization of 92491 in exponential form is:
92491 = 71 × 731 × 1811
Now multiplying the highest exponent prime factors to calculate the LCM of 92486 and 92491.
LCM(92486,92491) = 21 × 1311 × 3531 × 71 × 731 × 1811
LCM(92486,92491) = 8554122626
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