What is the Least Common Multiple of 6572 and 6591?
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 6572 and 6591 is 43316052.
LCM(6572,6591) = 43316052
Least Common Multiple of 6572 and 6591 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6572 and 6591, than apply into the LCM equation.
GCF(6572,6591) = 1
LCM(6572,6591) = ( 6572 × 6591) / 1
LCM(6572,6591) = 43316052 / 1
LCM(6572,6591) = 43316052
Least Common Multiple (LCM) of 6572 and 6591 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 6572 and 6591. First we will calculate the prime factors of 6572 and 6591.
Prime Factorization of 6572
Prime factors of 6572 are 2, 31, 53. Prime factorization of 6572 in exponential form is:
6572 = 22 × 311 × 531
Prime Factorization of 6591
Prime factors of 6591 are 3, 13. Prime factorization of 6591 in exponential form is:
6591 = 31 × 133
Now multiplying the highest exponent prime factors to calculate the LCM of 6572 and 6591.
LCM(6572,6591) = 22 × 311 × 531 × 31 × 133
LCM(6572,6591) = 43316052
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