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What is the Least Common Multiple of 257 and 277?

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 257 and 277 is 71189.

LCM(257,277) = 71189

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Least Common Multiple of 257 and 277 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 257 and 277, than apply into the LCM equation.

GCF(257,277) = 1
LCM(257,277) = ( 257 × 277) / 1
LCM(257,277) = 71189 / 1
LCM(257,277) = 71189

Least Common Multiple (LCM) of 257 and 277 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 257 and 277. First we will calculate the prime factors of 257 and 277.

Prime Factorization of 257

Prime factors of 257 are 257. Prime factorization of 257 in exponential form is:

257 = 2571

Prime Factorization of 277

Prime factors of 277 are 277. Prime factorization of 277 in exponential form is:

277 = 2771

Now multiplying the highest exponent prime factors to calculate the LCM of 257 and 277.

LCM(257,277) = 2571 × 2771
LCM(257,277) = 71189