What is the Least Common Multiple of 257 and 264?
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 264 is 67848.
LCM(257,264) = 67848
Least Common Multiple of 257 and 264 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 264, than apply into the LCM equation.
GCF(257,264) = 1
LCM(257,264) = ( 257 × 264) / 1
LCM(257,264) = 67848 / 1
LCM(257,264) = 67848
Least Common Multiple (LCM) of 257 and 264 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 257 and 264. First we will calculate the prime factors of 257 and 264.
Prime Factorization of 257
Prime factors of 257 are 257. Prime factorization of 257 in exponential form is:
257 = 2571
Prime Factorization of 264
Prime factors of 264 are 2, 3, 11. Prime factorization of 264 in exponential form is:
264 = 23 × 31 × 111
Now multiplying the highest exponent prime factors to calculate the LCM of 257 and 264.
LCM(257,264) = 2571 × 23 × 31 × 111
LCM(257,264) = 67848
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Related Least Common Multiples of 264
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