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What is the Least Common Multiple of 16407 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 16407 and 16425 is 29942775.

LCM(16407,16425) = 29942775

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Least Common Multiple of 16407 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 16407 and 16425, than apply into the LCM equation.

GCF(16407,16425) = 9
LCM(16407,16425) = ( 16407 × 16425) / 9
LCM(16407,16425) = 269484975 / 9
LCM(16407,16425) = 29942775

Least Common Multiple (LCM) of 16407 and 16425 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16407 and 16425. First we will calculate the prime factors of 16407 and 16425.

Prime Factorization of 16407

Prime factors of 16407 are 3, 1823. Prime factorization of 16407 in exponential form is:

16407 = 32 × 18231

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 16407 and 16425.

LCM(16407,16425) = 32 × 18231 × 52 × 731
LCM(16407,16425) = 29942775