What is the Least Common Multiple of 6545 and 6557?
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 6557 is 42915565.
LCM(6545,6557) = 42915565
Least Common Multiple of 6545 and 6557 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 6557, than apply into the LCM equation.
GCF(6545,6557) = 1
LCM(6545,6557) = ( 6545 × 6557) / 1
LCM(6545,6557) = 42915565 / 1
LCM(6545,6557) = 42915565
Least Common Multiple (LCM) of 6545 and 6557 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 6545 and 6557. First we will calculate the prime factors of 6545 and 6557.
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 6557
Prime factors of 6557 are 79, 83. Prime factorization of 6557 in exponential form is:
6557 = 791 × 831
Now multiplying the highest exponent prime factors to calculate the LCM of 6545 and 6557.
LCM(6545,6557) = 51 × 71 × 111 × 171 × 791 × 831
LCM(6545,6557) = 42915565
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