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What is the Least Common Multiple of 7233 and 7242?

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 7233 and 7242 is 17460462.

LCM(7233,7242) = 17460462

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Least Common Multiple of 7233 and 7242 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7233 and 7242, than apply into the LCM equation.

GCF(7233,7242) = 3
LCM(7233,7242) = ( 7233 × 7242) / 3
LCM(7233,7242) = 52381386 / 3
LCM(7233,7242) = 17460462

Least Common Multiple (LCM) of 7233 and 7242 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7233 and 7242. First we will calculate the prime factors of 7233 and 7242.

Prime Factorization of 7233

Prime factors of 7233 are 3, 2411. Prime factorization of 7233 in exponential form is:

7233 = 31 × 24111

Prime Factorization of 7242

Prime factors of 7242 are 2, 3, 17, 71. Prime factorization of 7242 in exponential form is:

7242 = 21 × 31 × 171 × 711

Now multiplying the highest exponent prime factors to calculate the LCM of 7233 and 7242.

LCM(7233,7242) = 31 × 24111 × 21 × 171 × 711
LCM(7233,7242) = 17460462