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What is the Least Common Multiple of 7242 and 7258?

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 7242 and 7258 is 26281218.

LCM(7242,7258) = 26281218

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Least Common Multiple of 7242 and 7258 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7242 and 7258, than apply into the LCM equation.

GCF(7242,7258) = 2
LCM(7242,7258) = ( 7242 × 7258) / 2
LCM(7242,7258) = 52562436 / 2
LCM(7242,7258) = 26281218

Least Common Multiple (LCM) of 7242 and 7258 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7242 and 7258. First we will calculate the prime factors of 7242 and 7258.

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

Prime Factorization of 7258

Prime factors of 7258 are 2, 19, 191. Prime factorization of 7258 in exponential form is:

7258 = 21 × 191 × 1911

Now multiplying the highest exponent prime factors to calculate the LCM of 7242 and 7258.

LCM(7242,7258) = 21 × 31 × 171 × 711 × 191 × 1911
LCM(7242,7258) = 26281218