What is the Least Common Multiple of 6523 and 6542?
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 6523 and 6542 is 42673466.
LCM(6523,6542) = 42673466
Least Common Multiple of 6523 and 6542 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6523 and 6542, than apply into the LCM equation.
GCF(6523,6542) = 1
LCM(6523,6542) = ( 6523 × 6542) / 1
LCM(6523,6542) = 42673466 / 1
LCM(6523,6542) = 42673466
Least Common Multiple (LCM) of 6523 and 6542 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 6523 and 6542. First we will calculate the prime factors of 6523 and 6542.
Prime Factorization of 6523
Prime factors of 6523 are 11, 593. Prime factorization of 6523 in exponential form is:
6523 = 111 × 5931
Prime Factorization of 6542
Prime factors of 6542 are 2, 3271. Prime factorization of 6542 in exponential form is:
6542 = 21 × 32711
Now multiplying the highest exponent prime factors to calculate the LCM of 6523 and 6542.
LCM(6523,6542) = 111 × 5931 × 21 × 32711
LCM(6523,6542) = 42673466
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