What is the Least Common Multiple of 6530 and 6545?
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 6530 and 6545 is 8547770.
LCM(6530,6545) = 8547770
Least Common Multiple of 6530 and 6545 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6530 and 6545, than apply into the LCM equation.
GCF(6530,6545) = 5
LCM(6530,6545) = ( 6530 × 6545) / 5
LCM(6530,6545) = 42738850 / 5
LCM(6530,6545) = 8547770
Least Common Multiple (LCM) of 6530 and 6545 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 6530 and 6545. First we will calculate the prime factors of 6530 and 6545.
Prime Factorization of 6530
Prime factors of 6530 are 2, 5, 653. Prime factorization of 6530 in exponential form is:
6530 = 21 × 51 × 6531
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
Now multiplying the highest exponent prime factors to calculate the LCM of 6530 and 6545.
LCM(6530,6545) = 21 × 51 × 6531 × 71 × 111 × 171
LCM(6530,6545) = 8547770
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