What is the Least Common Multiple of 592 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 592 and 611 is 361712.
LCM(592,611) = 361712
Least Common Multiple of 592 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 592 and 611, than apply into the LCM equation.
GCF(592,611) = 1
LCM(592,611) = ( 592 × 611) / 1
LCM(592,611) = 361712 / 1
LCM(592,611) = 361712
Least Common Multiple (LCM) of 592 and 611 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 592 and 611. First we will calculate the prime factors of 592 and 611.
Prime Factorization of 592
Prime factors of 592 are 2, 37. Prime factorization of 592 in exponential form is:
592 = 24 × 371
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 592 and 611.
LCM(592,611) = 24 × 371 × 131 × 471
LCM(592,611) = 361712
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