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What is the Least Common Multiple of 23460 and 23469?

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 23460 and 23469 is 183527580.

LCM(23460,23469) = 183527580

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Least Common Multiple of 23460 and 23469 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23460 and 23469, than apply into the LCM equation.

GCF(23460,23469) = 3
LCM(23460,23469) = ( 23460 × 23469) / 3
LCM(23460,23469) = 550582740 / 3
LCM(23460,23469) = 183527580

Least Common Multiple (LCM) of 23460 and 23469 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23460 and 23469. First we will calculate the prime factors of 23460 and 23469.

Prime Factorization of 23460

Prime factors of 23460 are 2, 3, 5, 17, 23. Prime factorization of 23460 in exponential form is:

23460 = 22 × 31 × 51 × 171 × 231

Prime Factorization of 23469

Prime factors of 23469 are 3, 7823. Prime factorization of 23469 in exponential form is:

23469 = 31 × 78231

Now multiplying the highest exponent prime factors to calculate the LCM of 23460 and 23469.

LCM(23460,23469) = 22 × 31 × 51 × 171 × 231 × 78231
LCM(23460,23469) = 183527580