What is the Least Common Multiple of 8492 and 8510?
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 8492 and 8510 is 36133460.
LCM(8492,8510) = 36133460
Least Common Multiple of 8492 and 8510 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8492 and 8510, than apply into the LCM equation.
GCF(8492,8510) = 2
LCM(8492,8510) = ( 8492 × 8510) / 2
LCM(8492,8510) = 72266920 / 2
LCM(8492,8510) = 36133460
Least Common Multiple (LCM) of 8492 and 8510 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 8492 and 8510. First we will calculate the prime factors of 8492 and 8510.
Prime Factorization of 8492
Prime factors of 8492 are 2, 11, 193. Prime factorization of 8492 in exponential form is:
8492 = 22 × 111 × 1931
Prime Factorization of 8510
Prime factors of 8510 are 2, 5, 23, 37. Prime factorization of 8510 in exponential form is:
8510 = 21 × 51 × 231 × 371
Now multiplying the highest exponent prime factors to calculate the LCM of 8492 and 8510.
LCM(8492,8510) = 22 × 111 × 1931 × 51 × 231 × 371
LCM(8492,8510) = 36133460
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