What is the Least Common Multiple of 21523 and 21531?
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 21523 and 21531 is 463411713.
LCM(21523,21531) = 463411713
Least Common Multiple of 21523 and 21531 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21523 and 21531, than apply into the LCM equation.
GCF(21523,21531) = 1
LCM(21523,21531) = ( 21523 × 21531) / 1
LCM(21523,21531) = 463411713 / 1
LCM(21523,21531) = 463411713
Least Common Multiple (LCM) of 21523 and 21531 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 21523 and 21531. First we will calculate the prime factors of 21523 and 21531.
Prime Factorization of 21523
Prime factors of 21523 are 21523. Prime factorization of 21523 in exponential form is:
21523 = 215231
Prime Factorization of 21531
Prime factors of 21531 are 3, 7177. Prime factorization of 21531 in exponential form is:
21531 = 31 × 71771
Now multiplying the highest exponent prime factors to calculate the LCM of 21523 and 21531.
LCM(21523,21531) = 215231 × 31 × 71771
LCM(21523,21531) = 463411713
Related Least Common Multiples of 21523
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Related Least Common Multiples of 21531
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