What is the Least Common Multiple of 71580 and 71591?
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 71580 and 71591 is 5124483780.
LCM(71580,71591) = 5124483780
Least Common Multiple of 71580 and 71591 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71580 and 71591, than apply into the LCM equation.
GCF(71580,71591) = 1
LCM(71580,71591) = ( 71580 × 71591) / 1
LCM(71580,71591) = 5124483780 / 1
LCM(71580,71591) = 5124483780
Least Common Multiple (LCM) of 71580 and 71591 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 71580 and 71591. First we will calculate the prime factors of 71580 and 71591.
Prime Factorization of 71580
Prime factors of 71580 are 2, 3, 5, 1193. Prime factorization of 71580 in exponential form is:
71580 = 22 × 31 × 51 × 11931
Prime Factorization of 71591
Prime factors of 71591 are 13, 5507. Prime factorization of 71591 in exponential form is:
71591 = 131 × 55071
Now multiplying the highest exponent prime factors to calculate the LCM of 71580 and 71591.
LCM(71580,71591) = 22 × 31 × 51 × 11931 × 131 × 55071
LCM(71580,71591) = 5124483780
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