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What is the Least Common Multiple of 2430 and 2446?

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 2446 is 2971890.

LCM(2430,2446) = 2971890

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Least Common Multiple of 2430 and 2446 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 2446, than apply into the LCM equation.

GCF(2430,2446) = 2
LCM(2430,2446) = ( 2430 × 2446) / 2
LCM(2430,2446) = 5943780 / 2
LCM(2430,2446) = 2971890

Least Common Multiple (LCM) of 2430 and 2446 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2430 and 2446. First we will calculate the prime factors of 2430 and 2446.

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 2446

Prime factors of 2446 are 2, 1223. Prime factorization of 2446 in exponential form is:

2446 = 21 × 12231

Now multiplying the highest exponent prime factors to calculate the LCM of 2430 and 2446.

LCM(2430,2446) = 21 × 35 × 51 × 12231
LCM(2430,2446) = 2971890