What is the Least Common Multiple of 16421 and 16425?
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 16421 and 16425 is 269714925.
LCM(16421,16425) = 269714925
Least Common Multiple of 16421 and 16425 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16421 and 16425, than apply into the LCM equation.
GCF(16421,16425) = 1
LCM(16421,16425) = ( 16421 × 16425) / 1
LCM(16421,16425) = 269714925 / 1
LCM(16421,16425) = 269714925
Least Common Multiple (LCM) of 16421 and 16425 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 16421 and 16425. First we will calculate the prime factors of 16421 and 16425.
Prime Factorization of 16421
Prime factors of 16421 are 16421. Prime factorization of 16421 in exponential form is:
16421 = 164211
Prime Factorization of 16425
Prime factors of 16425 are 3, 5, 73. Prime factorization of 16425 in exponential form is:
16425 = 32 × 52 × 731
Now multiplying the highest exponent prime factors to calculate the LCM of 16421 and 16425.
LCM(16421,16425) = 164211 × 32 × 52 × 731
LCM(16421,16425) = 269714925
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