What is the Least Common Multiple of 6541 and 6554?
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 6541 and 6554 is 42869714.
LCM(6541,6554) = 42869714
Least Common Multiple of 6541 and 6554 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6541 and 6554, than apply into the LCM equation.
GCF(6541,6554) = 1
LCM(6541,6554) = ( 6541 × 6554) / 1
LCM(6541,6554) = 42869714 / 1
LCM(6541,6554) = 42869714
Least Common Multiple (LCM) of 6541 and 6554 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 6541 and 6554. First we will calculate the prime factors of 6541 and 6554.
Prime Factorization of 6541
Prime factors of 6541 are 31, 211. Prime factorization of 6541 in exponential form is:
6541 = 311 × 2111
Prime Factorization of 6554
Prime factors of 6554 are 2, 29, 113. Prime factorization of 6554 in exponential form is:
6554 = 21 × 291 × 1131
Now multiplying the highest exponent prime factors to calculate the LCM of 6541 and 6554.
LCM(6541,6554) = 311 × 2111 × 21 × 291 × 1131
LCM(6541,6554) = 42869714
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