What is the Least Common Multiple of 567 and 586?
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 567 and 586 is 332262.
LCM(567,586) = 332262
Least Common Multiple of 567 and 586 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 567 and 586, than apply into the LCM equation.
GCF(567,586) = 1
LCM(567,586) = ( 567 × 586) / 1
LCM(567,586) = 332262 / 1
LCM(567,586) = 332262
Least Common Multiple (LCM) of 567 and 586 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 567 and 586. First we will calculate the prime factors of 567 and 586.
Prime Factorization of 567
Prime factors of 567 are 3, 7. Prime factorization of 567 in exponential form is:
567 = 34 × 71
Prime Factorization of 586
Prime factors of 586 are 2, 293. Prime factorization of 586 in exponential form is:
586 = 21 × 2931
Now multiplying the highest exponent prime factors to calculate the LCM of 567 and 586.
LCM(567,586) = 34 × 71 × 21 × 2931
LCM(567,586) = 332262
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