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What is the Least Common Multiple of 9416 and 9435?

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 9435 is 88839960.

LCM(9416,9435) = 88839960

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Least Common Multiple of 9416 and 9435 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 9435, than apply into the LCM equation.

GCF(9416,9435) = 1
LCM(9416,9435) = ( 9416 × 9435) / 1
LCM(9416,9435) = 88839960 / 1
LCM(9416,9435) = 88839960

Least Common Multiple (LCM) of 9416 and 9435 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9416 and 9435. First we will calculate the prime factors of 9416 and 9435.

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 9435

Prime factors of 9435 are 3, 5, 17, 37. Prime factorization of 9435 in exponential form is:

9435 = 31 × 51 × 171 × 371

Now multiplying the highest exponent prime factors to calculate the LCM of 9416 and 9435.

LCM(9416,9435) = 23 × 111 × 1071 × 31 × 51 × 171 × 371
LCM(9416,9435) = 88839960