What is the Least Common Multiple of 79484 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 79484 and 79491 is 6318262644.
LCM(79484,79491) = 6318262644
Least Common Multiple of 79484 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 79484 and 79491, than apply into the LCM equation.
GCF(79484,79491) = 1
LCM(79484,79491) = ( 79484 × 79491) / 1
LCM(79484,79491) = 6318262644 / 1
LCM(79484,79491) = 6318262644
Least Common Multiple (LCM) of 79484 and 79491 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 79484 and 79491. First we will calculate the prime factors of 79484 and 79491.
Prime Factorization of 79484
Prime factors of 79484 are 2, 31, 641. Prime factorization of 79484 in exponential form is:
79484 = 22 × 311 × 6411
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 79484 and 79491.
LCM(79484,79491) = 22 × 311 × 6411 × 31 × 264971
LCM(79484,79491) = 6318262644
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