What is the Least Common Multiple of 251 and 263?
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 251 and 263 is 66013.
LCM(251,263) = 66013
Least Common Multiple of 251 and 263 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 251 and 263, than apply into the LCM equation.
GCF(251,263) = 1
LCM(251,263) = ( 251 × 263) / 1
LCM(251,263) = 66013 / 1
LCM(251,263) = 66013
Least Common Multiple (LCM) of 251 and 263 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 251 and 263. First we will calculate the prime factors of 251 and 263.
Prime Factorization of 251
Prime factors of 251 are 251. Prime factorization of 251 in exponential form is:
251 = 2511
Prime Factorization of 263
Prime factors of 263 are 263. Prime factorization of 263 in exponential form is:
263 = 2631
Now multiplying the highest exponent prime factors to calculate the LCM of 251 and 263.
LCM(251,263) = 2511 × 2631
LCM(251,263) = 66013
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