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What is the Least Common Multiple of 9438 and 9453?

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 9438 and 9453 is 29739138.

LCM(9438,9453) = 29739138

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Least Common Multiple of 9438 and 9453 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9438 and 9453, than apply into the LCM equation.

GCF(9438,9453) = 3
LCM(9438,9453) = ( 9438 × 9453) / 3
LCM(9438,9453) = 89217414 / 3
LCM(9438,9453) = 29739138

Least Common Multiple (LCM) of 9438 and 9453 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9438 and 9453. First we will calculate the prime factors of 9438 and 9453.

Prime Factorization of 9438

Prime factors of 9438 are 2, 3, 11, 13. Prime factorization of 9438 in exponential form is:

9438 = 21 × 31 × 112 × 131

Prime Factorization of 9453

Prime factors of 9453 are 3, 23, 137. Prime factorization of 9453 in exponential form is:

9453 = 31 × 231 × 1371

Now multiplying the highest exponent prime factors to calculate the LCM of 9438 and 9453.

LCM(9438,9453) = 21 × 31 × 112 × 131 × 231 × 1371
LCM(9438,9453) = 29739138