What is the Least Common Multiple of 8495 and 8508?
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 8495 and 8508 is 72275460.
LCM(8495,8508) = 72275460
Least Common Multiple of 8495 and 8508 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8495 and 8508, than apply into the LCM equation.
GCF(8495,8508) = 1
LCM(8495,8508) = ( 8495 × 8508) / 1
LCM(8495,8508) = 72275460 / 1
LCM(8495,8508) = 72275460
Least Common Multiple (LCM) of 8495 and 8508 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 8495 and 8508. First we will calculate the prime factors of 8495 and 8508.
Prime Factorization of 8495
Prime factors of 8495 are 5, 1699. Prime factorization of 8495 in exponential form is:
8495 = 51 × 16991
Prime Factorization of 8508
Prime factors of 8508 are 2, 3, 709. Prime factorization of 8508 in exponential form is:
8508 = 22 × 31 × 7091
Now multiplying the highest exponent prime factors to calculate the LCM of 8495 and 8508.
LCM(8495,8508) = 51 × 16991 × 22 × 31 × 7091
LCM(8495,8508) = 72275460
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