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What is the Least Common Multiple of 9460 and 9469?

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 9460 and 9469 is 89576740.

LCM(9460,9469) = 89576740

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Least Common Multiple of 9460 and 9469 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9460 and 9469, than apply into the LCM equation.

GCF(9460,9469) = 1
LCM(9460,9469) = ( 9460 × 9469) / 1
LCM(9460,9469) = 89576740 / 1
LCM(9460,9469) = 89576740

Least Common Multiple (LCM) of 9460 and 9469 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9460 and 9469. First we will calculate the prime factors of 9460 and 9469.

Prime Factorization of 9460

Prime factors of 9460 are 2, 5, 11, 43. Prime factorization of 9460 in exponential form is:

9460 = 22 × 51 × 111 × 431

Prime Factorization of 9469

Prime factors of 9469 are 17, 557. Prime factorization of 9469 in exponential form is:

9469 = 171 × 5571

Now multiplying the highest exponent prime factors to calculate the LCM of 9460 and 9469.

LCM(9460,9469) = 22 × 51 × 111 × 431 × 171 × 5571
LCM(9460,9469) = 89576740