What is the Least Common Multiple of 275 and 287?
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 275 and 287 is 78925.
LCM(275,287) = 78925
Least Common Multiple of 275 and 287 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 275 and 287, than apply into the LCM equation.
GCF(275,287) = 1
LCM(275,287) = ( 275 × 287) / 1
LCM(275,287) = 78925 / 1
LCM(275,287) = 78925
Least Common Multiple (LCM) of 275 and 287 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 275 and 287. First we will calculate the prime factors of 275 and 287.
Prime Factorization of 275
Prime factors of 275 are 5, 11. Prime factorization of 275 in exponential form is:
275 = 52 × 111
Prime Factorization of 287
Prime factors of 287 are 7, 41. Prime factorization of 287 in exponential form is:
287 = 71 × 411
Now multiplying the highest exponent prime factors to calculate the LCM of 275 and 287.
LCM(275,287) = 52 × 111 × 71 × 411
LCM(275,287) = 78925
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