What is the Least Common Multiple of 8487 and 8502?
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 8502 is 24052158.
LCM(8487,8502) = 24052158
Least Common Multiple of 8487 and 8502 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 8502, than apply into the LCM equation.
GCF(8487,8502) = 3
LCM(8487,8502) = ( 8487 × 8502) / 3
LCM(8487,8502) = 72156474 / 3
LCM(8487,8502) = 24052158
Least Common Multiple (LCM) of 8487 and 8502 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 8487 and 8502. First we will calculate the prime factors of 8487 and 8502.
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 8502
Prime factors of 8502 are 2, 3, 13, 109. Prime factorization of 8502 in exponential form is:
8502 = 21 × 31 × 131 × 1091
Now multiplying the highest exponent prime factors to calculate the LCM of 8487 and 8502.
LCM(8487,8502) = 32 × 231 × 411 × 21 × 131 × 1091
LCM(8487,8502) = 24052158
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