What is the Least Common Multiple of 8540 and 8551?
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 8540 and 8551 is 73025540.
LCM(8540,8551) = 73025540
Least Common Multiple of 8540 and 8551 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8540 and 8551, than apply into the LCM equation.
GCF(8540,8551) = 1
LCM(8540,8551) = ( 8540 × 8551) / 1
LCM(8540,8551) = 73025540 / 1
LCM(8540,8551) = 73025540
Least Common Multiple (LCM) of 8540 and 8551 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 8540 and 8551. First we will calculate the prime factors of 8540 and 8551.
Prime Factorization of 8540
Prime factors of 8540 are 2, 5, 7, 61. Prime factorization of 8540 in exponential form is:
8540 = 22 × 51 × 71 × 611
Prime Factorization of 8551
Prime factors of 8551 are 17, 503. Prime factorization of 8551 in exponential form is:
8551 = 171 × 5031
Now multiplying the highest exponent prime factors to calculate the LCM of 8540 and 8551.
LCM(8540,8551) = 22 × 51 × 71 × 611 × 171 × 5031
LCM(8540,8551) = 73025540
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