What is the Least Common Multiple of 596 and 611?
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 596 and 611 is 364156.
LCM(596,611) = 364156
Least Common Multiple of 596 and 611 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 596 and 611, than apply into the LCM equation.
GCF(596,611) = 1
LCM(596,611) = ( 596 × 611) / 1
LCM(596,611) = 364156 / 1
LCM(596,611) = 364156
Least Common Multiple (LCM) of 596 and 611 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 596 and 611. First we will calculate the prime factors of 596 and 611.
Prime Factorization of 596
Prime factors of 596 are 2, 149. Prime factorization of 596 in exponential form is:
596 = 22 × 1491
Prime Factorization of 611
Prime factors of 611 are 13, 47. Prime factorization of 611 in exponential form is:
611 = 131 × 471
Now multiplying the highest exponent prime factors to calculate the LCM of 596 and 611.
LCM(596,611) = 22 × 1491 × 131 × 471
LCM(596,611) = 364156
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