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What is the Least Common Multiple of 2442 and 2457?

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 2442 and 2457 is 1999998.

LCM(2442,2457) = 1999998

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Least Common Multiple of 2442 and 2457 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2442 and 2457, than apply into the LCM equation.

GCF(2442,2457) = 3
LCM(2442,2457) = ( 2442 × 2457) / 3
LCM(2442,2457) = 5999994 / 3
LCM(2442,2457) = 1999998

Least Common Multiple (LCM) of 2442 and 2457 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2442 and 2457. First we will calculate the prime factors of 2442 and 2457.

Prime Factorization of 2442

Prime factors of 2442 are 2, 3, 11, 37. Prime factorization of 2442 in exponential form is:

2442 = 21 × 31 × 111 × 371

Prime Factorization of 2457

Prime factors of 2457 are 3, 7, 13. Prime factorization of 2457 in exponential form is:

2457 = 33 × 71 × 131

Now multiplying the highest exponent prime factors to calculate the LCM of 2442 and 2457.

LCM(2442,2457) = 21 × 33 × 111 × 371 × 71 × 131
LCM(2442,2457) = 1999998