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What is the Least Common Multiple of 240 and 251?

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 240 and 251 is 60240.

LCM(240,251) = 60240

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Least Common Multiple of 240 and 251 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 240 and 251, than apply into the LCM equation.

GCF(240,251) = 1
LCM(240,251) = ( 240 × 251) / 1
LCM(240,251) = 60240 / 1
LCM(240,251) = 60240

Least Common Multiple (LCM) of 240 and 251 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 240 and 251. First we will calculate the prime factors of 240 and 251.

Prime Factorization of 240

Prime factors of 240 are 2, 3, 5. Prime factorization of 240 in exponential form is:

240 = 24 × 31 × 51

Prime Factorization of 251

Prime factors of 251 are 251. Prime factorization of 251 in exponential form is:

251 = 2511

Now multiplying the highest exponent prime factors to calculate the LCM of 240 and 251.

LCM(240,251) = 24 × 31 × 51 × 2511
LCM(240,251) = 60240