What is the Least Common Multiple of 6411 and 6425?
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 6411 and 6425 is 41190675.
LCM(6411,6425) = 41190675
Least Common Multiple of 6411 and 6425 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6411 and 6425, than apply into the LCM equation.
GCF(6411,6425) = 1
LCM(6411,6425) = ( 6411 × 6425) / 1
LCM(6411,6425) = 41190675 / 1
LCM(6411,6425) = 41190675
Least Common Multiple (LCM) of 6411 and 6425 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 6411 and 6425. First we will calculate the prime factors of 6411 and 6425.
Prime Factorization of 6411
Prime factors of 6411 are 3, 2137. Prime factorization of 6411 in exponential form is:
6411 = 31 × 21371
Prime Factorization of 6425
Prime factors of 6425 are 5, 257. Prime factorization of 6425 in exponential form is:
6425 = 52 × 2571
Now multiplying the highest exponent prime factors to calculate the LCM of 6411 and 6425.
LCM(6411,6425) = 31 × 21371 × 52 × 2571
LCM(6411,6425) = 41190675
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