What is the Least Common Multiple of 8487 and 8494?
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 8487 and 8494 is 72088578.
LCM(8487,8494) = 72088578
Least Common Multiple of 8487 and 8494 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8487 and 8494, than apply into the LCM equation.
GCF(8487,8494) = 1
LCM(8487,8494) = ( 8487 × 8494) / 1
LCM(8487,8494) = 72088578 / 1
LCM(8487,8494) = 72088578
Least Common Multiple (LCM) of 8487 and 8494 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 8487 and 8494. First we will calculate the prime factors of 8487 and 8494.
Prime Factorization of 8487
Prime factors of 8487 are 3, 23, 41. Prime factorization of 8487 in exponential form is:
8487 = 32 × 231 × 411
Prime Factorization of 8494
Prime factors of 8494 are 2, 31, 137. Prime factorization of 8494 in exponential form is:
8494 = 21 × 311 × 1371
Now multiplying the highest exponent prime factors to calculate the LCM of 8487 and 8494.
LCM(8487,8494) = 32 × 231 × 411 × 21 × 311 × 1371
LCM(8487,8494) = 72088578
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