What is the Least Common Multiple of 267 and 286?
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 267 and 286 is 76362.
LCM(267,286) = 76362
Least Common Multiple of 267 and 286 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 267 and 286, than apply into the LCM equation.
GCF(267,286) = 1
LCM(267,286) = ( 267 × 286) / 1
LCM(267,286) = 76362 / 1
LCM(267,286) = 76362
Least Common Multiple (LCM) of 267 and 286 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 267 and 286. First we will calculate the prime factors of 267 and 286.
Prime Factorization of 267
Prime factors of 267 are 3, 89. Prime factorization of 267 in exponential form is:
267 = 31 × 891
Prime Factorization of 286
Prime factors of 286 are 2, 11, 13. Prime factorization of 286 in exponential form is:
286 = 21 × 111 × 131
Now multiplying the highest exponent prime factors to calculate the LCM of 267 and 286.
LCM(267,286) = 31 × 891 × 21 × 111 × 131
LCM(267,286) = 76362
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