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What is the Least Common Multiple of 9416 and 9429?

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 9416 and 9429 is 88783464.

LCM(9416,9429) = 88783464

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Least Common Multiple of 9416 and 9429 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9416 and 9429, than apply into the LCM equation.

GCF(9416,9429) = 1
LCM(9416,9429) = ( 9416 × 9429) / 1
LCM(9416,9429) = 88783464 / 1
LCM(9416,9429) = 88783464

Least Common Multiple (LCM) of 9416 and 9429 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9416 and 9429. First we will calculate the prime factors of 9416 and 9429.

Prime Factorization of 9416

Prime factors of 9416 are 2, 11, 107. Prime factorization of 9416 in exponential form is:

9416 = 23 × 111 × 1071

Prime Factorization of 9429

Prime factors of 9429 are 3, 7, 449. Prime factorization of 9429 in exponential form is:

9429 = 31 × 71 × 4491

Now multiplying the highest exponent prime factors to calculate the LCM of 9416 and 9429.

LCM(9416,9429) = 23 × 111 × 1071 × 31 × 71 × 4491
LCM(9416,9429) = 88783464