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What is the Least Common Multiple of 2430 and 2437?

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 2430 and 2437 is 5921910.

LCM(2430,2437) = 5921910

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Least Common Multiple of 2430 and 2437 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2430 and 2437, than apply into the LCM equation.

GCF(2430,2437) = 1
LCM(2430,2437) = ( 2430 × 2437) / 1
LCM(2430,2437) = 5921910 / 1
LCM(2430,2437) = 5921910

Least Common Multiple (LCM) of 2430 and 2437 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2430 and 2437. First we will calculate the prime factors of 2430 and 2437.

Prime Factorization of 2430

Prime factors of 2430 are 2, 3, 5. Prime factorization of 2430 in exponential form is:

2430 = 21 × 35 × 51

Prime Factorization of 2437

Prime factors of 2437 are 2437. Prime factorization of 2437 in exponential form is:

2437 = 24371

Now multiplying the highest exponent prime factors to calculate the LCM of 2430 and 2437.

LCM(2430,2437) = 21 × 35 × 51 × 24371
LCM(2430,2437) = 5921910