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What is the Least Common Multiple of 17446 and 17466?

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 17446 and 17466 is 152355918.

LCM(17446,17466) = 152355918

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Least Common Multiple of 17446 and 17466 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17446 and 17466, than apply into the LCM equation.

GCF(17446,17466) = 2
LCM(17446,17466) = ( 17446 × 17466) / 2
LCM(17446,17466) = 304711836 / 2
LCM(17446,17466) = 152355918

Least Common Multiple (LCM) of 17446 and 17466 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17446 and 17466. First we will calculate the prime factors of 17446 and 17466.

Prime Factorization of 17446

Prime factors of 17446 are 2, 11, 13, 61. Prime factorization of 17446 in exponential form is:

17446 = 21 × 111 × 131 × 611

Prime Factorization of 17466

Prime factors of 17466 are 2, 3, 41, 71. Prime factorization of 17466 in exponential form is:

17466 = 21 × 31 × 411 × 711

Now multiplying the highest exponent prime factors to calculate the LCM of 17446 and 17466.

LCM(17446,17466) = 21 × 111 × 131 × 611 × 31 × 411 × 711
LCM(17446,17466) = 152355918