What is the Least Common Multiple of 6545 and 6563?
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 6545 and 6563 is 42954835.
LCM(6545,6563) = 42954835
Least Common Multiple of 6545 and 6563 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6545 and 6563, than apply into the LCM equation.
GCF(6545,6563) = 1
LCM(6545,6563) = ( 6545 × 6563) / 1
LCM(6545,6563) = 42954835 / 1
LCM(6545,6563) = 42954835
Least Common Multiple (LCM) of 6545 and 6563 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 6545 and 6563. First we will calculate the prime factors of 6545 and 6563.
Prime Factorization of 6545
Prime factors of 6545 are 5, 7, 11, 17. Prime factorization of 6545 in exponential form is:
6545 = 51 × 71 × 111 × 171
Prime Factorization of 6563
Prime factors of 6563 are 6563. Prime factorization of 6563 in exponential form is:
6563 = 65631
Now multiplying the highest exponent prime factors to calculate the LCM of 6545 and 6563.
LCM(6545,6563) = 51 × 71 × 111 × 171 × 65631
LCM(6545,6563) = 42954835
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