What is the Least Common Multiple of 4527 and 4531?
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 4527 and 4531 is 20511837.
LCM(4527,4531) = 20511837
Least Common Multiple of 4527 and 4531 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4527 and 4531, than apply into the LCM equation.
GCF(4527,4531) = 1
LCM(4527,4531) = ( 4527 × 4531) / 1
LCM(4527,4531) = 20511837 / 1
LCM(4527,4531) = 20511837
Least Common Multiple (LCM) of 4527 and 4531 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 4527 and 4531. First we will calculate the prime factors of 4527 and 4531.
Prime Factorization of 4527
Prime factors of 4527 are 3, 503. Prime factorization of 4527 in exponential form is:
4527 = 32 × 5031
Prime Factorization of 4531
Prime factors of 4531 are 23, 197. Prime factorization of 4531 in exponential form is:
4531 = 231 × 1971
Now multiplying the highest exponent prime factors to calculate the LCM of 4527 and 4531.
LCM(4527,4531) = 32 × 5031 × 231 × 1971
LCM(4527,4531) = 20511837
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