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What is the Least Common Multiple of 16478 and 16495?

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 16478 and 16495 is 271804610.

LCM(16478,16495) = 271804610

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Least Common Multiple of 16478 and 16495 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16478 and 16495, than apply into the LCM equation.

GCF(16478,16495) = 1
LCM(16478,16495) = ( 16478 × 16495) / 1
LCM(16478,16495) = 271804610 / 1
LCM(16478,16495) = 271804610

Least Common Multiple (LCM) of 16478 and 16495 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16478 and 16495. First we will calculate the prime factors of 16478 and 16495.

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

Prime Factorization of 16495

Prime factors of 16495 are 5, 3299. Prime factorization of 16495 in exponential form is:

16495 = 51 × 32991

Now multiplying the highest exponent prime factors to calculate the LCM of 16478 and 16495.

LCM(16478,16495) = 21 × 71 × 111 × 1071 × 51 × 32991
LCM(16478,16495) = 271804610