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What is the Least Common Multiple of 16459 and 16478?

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 16459 and 16478 is 271211402.

LCM(16459,16478) = 271211402

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Least Common Multiple of 16459 and 16478 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16459 and 16478, than apply into the LCM equation.

GCF(16459,16478) = 1
LCM(16459,16478) = ( 16459 × 16478) / 1
LCM(16459,16478) = 271211402 / 1
LCM(16459,16478) = 271211402

Least Common Multiple (LCM) of 16459 and 16478 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16459 and 16478. First we will calculate the prime factors of 16459 and 16478.

Prime Factorization of 16459

Prime factors of 16459 are 109, 151. Prime factorization of 16459 in exponential form is:

16459 = 1091 × 1511

Prime Factorization of 16478

Prime factors of 16478 are 2, 7, 11, 107. Prime factorization of 16478 in exponential form is:

16478 = 21 × 71 × 111 × 1071

Now multiplying the highest exponent prime factors to calculate the LCM of 16459 and 16478.

LCM(16459,16478) = 1091 × 1511 × 21 × 71 × 111 × 1071
LCM(16459,16478) = 271211402