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What is the Least Common Multiple of 242 and 248?

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 242 and 248 is 30008.

LCM(242,248) = 30008

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Least Common Multiple of 242 and 248 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 242 and 248, than apply into the LCM equation.

GCF(242,248) = 2
LCM(242,248) = ( 242 × 248) / 2
LCM(242,248) = 60016 / 2
LCM(242,248) = 30008

Least Common Multiple (LCM) of 242 and 248 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 242 and 248. First we will calculate the prime factors of 242 and 248.

Prime Factorization of 242

Prime factors of 242 are 2, 11. Prime factorization of 242 in exponential form is:

242 = 21 × 112

Prime Factorization of 248

Prime factors of 248 are 2, 31. Prime factorization of 248 in exponential form is:

248 = 23 × 311

Now multiplying the highest exponent prime factors to calculate the LCM of 242 and 248.

LCM(242,248) = 23 × 112 × 311
LCM(242,248) = 30008