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What is the Least Common Multiple of 16463 and 16477?

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 16463 and 16477 is 271260851.

LCM(16463,16477) = 271260851

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Least Common Multiple of 16463 and 16477 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16463 and 16477, than apply into the LCM equation.

GCF(16463,16477) = 1
LCM(16463,16477) = ( 16463 × 16477) / 1
LCM(16463,16477) = 271260851 / 1
LCM(16463,16477) = 271260851

Least Common Multiple (LCM) of 16463 and 16477 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16463 and 16477. First we will calculate the prime factors of 16463 and 16477.

Prime Factorization of 16463

Prime factors of 16463 are 101, 163. Prime factorization of 16463 in exponential form is:

16463 = 1011 × 1631

Prime Factorization of 16477

Prime factors of 16477 are 16477. Prime factorization of 16477 in exponential form is:

16477 = 164771

Now multiplying the highest exponent prime factors to calculate the LCM of 16463 and 16477.

LCM(16463,16477) = 1011 × 1631 × 164771
LCM(16463,16477) = 271260851