What is the Least Common Multiple of 8510 and 8527?
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 8510 and 8527 is 72564770.
LCM(8510,8527) = 72564770
Least Common Multiple of 8510 and 8527 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8510 and 8527, than apply into the LCM equation.
GCF(8510,8527) = 1
LCM(8510,8527) = ( 8510 × 8527) / 1
LCM(8510,8527) = 72564770 / 1
LCM(8510,8527) = 72564770
Least Common Multiple (LCM) of 8510 and 8527 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 8510 and 8527. First we will calculate the prime factors of 8510 and 8527.
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
Prime Factorization of 8527
Prime factors of 8527 are 8527. Prime factorization of 8527 in exponential form is:
8527 = 85271
Now multiplying the highest exponent prime factors to calculate the LCM of 8510 and 8527.
LCM(8510,8527) = 21 × 51 × 231 × 371 × 85271
LCM(8510,8527) = 72564770
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