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What is the Least Common Multiple of 16461 and 16476?

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 16461 and 16476 is 90403812.

LCM(16461,16476) = 90403812

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Least Common Multiple of 16461 and 16476 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16461 and 16476, than apply into the LCM equation.

GCF(16461,16476) = 3
LCM(16461,16476) = ( 16461 × 16476) / 3
LCM(16461,16476) = 271211436 / 3
LCM(16461,16476) = 90403812

Least Common Multiple (LCM) of 16461 and 16476 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16461 and 16476. First we will calculate the prime factors of 16461 and 16476.

Prime Factorization of 16461

Prime factors of 16461 are 3, 31, 59. Prime factorization of 16461 in exponential form is:

16461 = 32 × 311 × 591

Prime Factorization of 16476

Prime factors of 16476 are 2, 3, 1373. Prime factorization of 16476 in exponential form is:

16476 = 22 × 31 × 13731

Now multiplying the highest exponent prime factors to calculate the LCM of 16461 and 16476.

LCM(16461,16476) = 32 × 311 × 591 × 22 × 13731
LCM(16461,16476) = 90403812