What is the Least Common Multiple of 79471 and 79491?
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 79471 and 79491 is 6317229261.
LCM(79471,79491) = 6317229261
Least Common Multiple of 79471 and 79491 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79471 and 79491, than apply into the LCM equation.
GCF(79471,79491) = 1
LCM(79471,79491) = ( 79471 × 79491) / 1
LCM(79471,79491) = 6317229261 / 1
LCM(79471,79491) = 6317229261
Least Common Multiple (LCM) of 79471 and 79491 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 79471 and 79491. First we will calculate the prime factors of 79471 and 79491.
Prime Factorization of 79471
Prime factors of 79471 are 7, 11353. Prime factorization of 79471 in exponential form is:
79471 = 71 × 113531
Prime Factorization of 79491
Prime factors of 79491 are 3, 26497. Prime factorization of 79491 in exponential form is:
79491 = 31 × 264971
Now multiplying the highest exponent prime factors to calculate the LCM of 79471 and 79491.
LCM(79471,79491) = 71 × 113531 × 31 × 264971
LCM(79471,79491) = 6317229261
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