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What is the Least Common Multiple of 2306 and 2320?

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 2306 and 2320 is 2674960.

LCM(2306,2320) = 2674960

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Least Common Multiple of 2306 and 2320 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2306 and 2320, than apply into the LCM equation.

GCF(2306,2320) = 2
LCM(2306,2320) = ( 2306 × 2320) / 2
LCM(2306,2320) = 5349920 / 2
LCM(2306,2320) = 2674960

Least Common Multiple (LCM) of 2306 and 2320 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2306 and 2320. First we will calculate the prime factors of 2306 and 2320.

Prime Factorization of 2306

Prime factors of 2306 are 2, 1153. Prime factorization of 2306 in exponential form is:

2306 = 21 × 11531

Prime Factorization of 2320

Prime factors of 2320 are 2, 5, 29. Prime factorization of 2320 in exponential form is:

2320 = 24 × 51 × 291

Now multiplying the highest exponent prime factors to calculate the LCM of 2306 and 2320.

LCM(2306,2320) = 24 × 11531 × 51 × 291
LCM(2306,2320) = 2674960