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What is the Least Common Multiple of 7442 and 7449?

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 7442 and 7449 is 55435458.

LCM(7442,7449) = 55435458

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Least Common Multiple of 7442 and 7449 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7442 and 7449, than apply into the LCM equation.

GCF(7442,7449) = 1
LCM(7442,7449) = ( 7442 × 7449) / 1
LCM(7442,7449) = 55435458 / 1
LCM(7442,7449) = 55435458

Least Common Multiple (LCM) of 7442 and 7449 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7442 and 7449. First we will calculate the prime factors of 7442 and 7449.

Prime Factorization of 7442

Prime factors of 7442 are 2, 61. Prime factorization of 7442 in exponential form is:

7442 = 21 × 612

Prime Factorization of 7449

Prime factors of 7449 are 3, 13, 191. Prime factorization of 7449 in exponential form is:

7449 = 31 × 131 × 1911

Now multiplying the highest exponent prime factors to calculate the LCM of 7442 and 7449.

LCM(7442,7449) = 21 × 612 × 31 × 131 × 1911
LCM(7442,7449) = 55435458