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What is the Least Common Multiple of 9452 and 9466?

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 9452 and 9466 is 44736316.

LCM(9452,9466) = 44736316

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Least Common Multiple of 9452 and 9466 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9452 and 9466, than apply into the LCM equation.

GCF(9452,9466) = 2
LCM(9452,9466) = ( 9452 × 9466) / 2
LCM(9452,9466) = 89472632 / 2
LCM(9452,9466) = 44736316

Least Common Multiple (LCM) of 9452 and 9466 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9452 and 9466. First we will calculate the prime factors of 9452 and 9466.

Prime Factorization of 9452

Prime factors of 9452 are 2, 17, 139. Prime factorization of 9452 in exponential form is:

9452 = 22 × 171 × 1391

Prime Factorization of 9466

Prime factors of 9466 are 2, 4733. Prime factorization of 9466 in exponential form is:

9466 = 21 × 47331

Now multiplying the highest exponent prime factors to calculate the LCM of 9452 and 9466.

LCM(9452,9466) = 22 × 171 × 1391 × 47331
LCM(9452,9466) = 44736316