What is the Least Common Multiple of 8516 and 8536?
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 8516 and 8536 is 18173144.
LCM(8516,8536) = 18173144
Least Common Multiple of 8516 and 8536 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8516 and 8536, than apply into the LCM equation.
GCF(8516,8536) = 4
LCM(8516,8536) = ( 8516 × 8536) / 4
LCM(8516,8536) = 72692576 / 4
LCM(8516,8536) = 18173144
Least Common Multiple (LCM) of 8516 and 8536 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 8516 and 8536. First we will calculate the prime factors of 8516 and 8536.
Prime Factorization of 8516
Prime factors of 8516 are 2, 2129. Prime factorization of 8516 in exponential form is:
8516 = 22 × 21291
Prime Factorization of 8536
Prime factors of 8536 are 2, 11, 97. Prime factorization of 8536 in exponential form is:
8536 = 23 × 111 × 971
Now multiplying the highest exponent prime factors to calculate the LCM of 8516 and 8536.
LCM(8516,8536) = 23 × 21291 × 111 × 971
LCM(8516,8536) = 18173144
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