What is the Least Common Multiple of 6524 and 6532?
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 6524 and 6532 is 10653692.
LCM(6524,6532) = 10653692
Least Common Multiple of 6524 and 6532 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6524 and 6532, than apply into the LCM equation.
GCF(6524,6532) = 4
LCM(6524,6532) = ( 6524 × 6532) / 4
LCM(6524,6532) = 42614768 / 4
LCM(6524,6532) = 10653692
Least Common Multiple (LCM) of 6524 and 6532 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 6524 and 6532. First we will calculate the prime factors of 6524 and 6532.
Prime Factorization of 6524
Prime factors of 6524 are 2, 7, 233. Prime factorization of 6524 in exponential form is:
6524 = 22 × 71 × 2331
Prime Factorization of 6532
Prime factors of 6532 are 2, 23, 71. Prime factorization of 6532 in exponential form is:
6532 = 22 × 231 × 711
Now multiplying the highest exponent prime factors to calculate the LCM of 6524 and 6532.
LCM(6524,6532) = 22 × 71 × 2331 × 231 × 711
LCM(6524,6532) = 10653692
Related Least Common Multiples of 6524
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Related Least Common Multiples of 6532
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