What is the Least Common Multiple of 6421 and 6428?
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 6421 and 6428 is 41274188.
LCM(6421,6428) = 41274188
Least Common Multiple of 6421 and 6428 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6421 and 6428, than apply into the LCM equation.
GCF(6421,6428) = 1
LCM(6421,6428) = ( 6421 × 6428) / 1
LCM(6421,6428) = 41274188 / 1
LCM(6421,6428) = 41274188
Least Common Multiple (LCM) of 6421 and 6428 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 6421 and 6428. First we will calculate the prime factors of 6421 and 6428.
Prime Factorization of 6421
Prime factors of 6421 are 6421. Prime factorization of 6421 in exponential form is:
6421 = 64211
Prime Factorization of 6428
Prime factors of 6428 are 2, 1607. Prime factorization of 6428 in exponential form is:
6428 = 22 × 16071
Now multiplying the highest exponent prime factors to calculate the LCM of 6421 and 6428.
LCM(6421,6428) = 64211 × 22 × 16071
LCM(6421,6428) = 41274188
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