What is the Least Common Multiple of 6476 and 6494?
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 6476 and 6494 is 21027572.
LCM(6476,6494) = 21027572
Least Common Multiple of 6476 and 6494 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6476 and 6494, than apply into the LCM equation.
GCF(6476,6494) = 2
LCM(6476,6494) = ( 6476 × 6494) / 2
LCM(6476,6494) = 42055144 / 2
LCM(6476,6494) = 21027572
Least Common Multiple (LCM) of 6476 and 6494 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 6476 and 6494. First we will calculate the prime factors of 6476 and 6494.
Prime Factorization of 6476
Prime factors of 6476 are 2, 1619. Prime factorization of 6476 in exponential form is:
6476 = 22 × 16191
Prime Factorization of 6494
Prime factors of 6494 are 2, 17, 191. Prime factorization of 6494 in exponential form is:
6494 = 21 × 171 × 1911
Now multiplying the highest exponent prime factors to calculate the LCM of 6476 and 6494.
LCM(6476,6494) = 22 × 16191 × 171 × 1911
LCM(6476,6494) = 21027572
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