What is the Least Common Multiple of 92261 and 92280?
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 92261 and 92280 is 8513845080.
LCM(92261,92280) = 8513845080
Least Common Multiple of 92261 and 92280 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92261 and 92280, than apply into the LCM equation.
GCF(92261,92280) = 1
LCM(92261,92280) = ( 92261 × 92280) / 1
LCM(92261,92280) = 8513845080 / 1
LCM(92261,92280) = 8513845080
Least Common Multiple (LCM) of 92261 and 92280 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 92261 and 92280. First we will calculate the prime factors of 92261 and 92280.
Prime Factorization of 92261
Prime factors of 92261 are 13, 47, 151. Prime factorization of 92261 in exponential form is:
92261 = 131 × 471 × 1511
Prime Factorization of 92280
Prime factors of 92280 are 2, 3, 5, 769. Prime factorization of 92280 in exponential form is:
92280 = 23 × 31 × 51 × 7691
Now multiplying the highest exponent prime factors to calculate the LCM of 92261 and 92280.
LCM(92261,92280) = 131 × 471 × 1511 × 23 × 31 × 51 × 7691
LCM(92261,92280) = 8513845080
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