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What is the Least Common Multiple of 23660 and 23679?

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 23660 and 23679 is 560245140.

LCM(23660,23679) = 560245140

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Least Common Multiple of 23660 and 23679 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23660 and 23679, than apply into the LCM equation.

GCF(23660,23679) = 1
LCM(23660,23679) = ( 23660 × 23679) / 1
LCM(23660,23679) = 560245140 / 1
LCM(23660,23679) = 560245140

Least Common Multiple (LCM) of 23660 and 23679 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23660 and 23679. First we will calculate the prime factors of 23660 and 23679.

Prime Factorization of 23660

Prime factors of 23660 are 2, 5, 7, 13. Prime factorization of 23660 in exponential form is:

23660 = 22 × 51 × 71 × 132

Prime Factorization of 23679

Prime factors of 23679 are 3, 877. Prime factorization of 23679 in exponential form is:

23679 = 33 × 8771

Now multiplying the highest exponent prime factors to calculate the LCM of 23660 and 23679.

LCM(23660,23679) = 22 × 51 × 71 × 132 × 33 × 8771
LCM(23660,23679) = 560245140