What is the Least Common Multiple of 79383 and 79391?
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 79383 and 79391 is 6302295753.
LCM(79383,79391) = 6302295753
Least Common Multiple of 79383 and 79391 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79383 and 79391, than apply into the LCM equation.
GCF(79383,79391) = 1
LCM(79383,79391) = ( 79383 × 79391) / 1
LCM(79383,79391) = 6302295753 / 1
LCM(79383,79391) = 6302295753
Least Common Multiple (LCM) of 79383 and 79391 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 79383 and 79391. First we will calculate the prime factors of 79383 and 79391.
Prime Factorization of 79383
Prime factors of 79383 are 3, 47, 563. Prime factorization of 79383 in exponential form is:
79383 = 31 × 471 × 5631
Prime Factorization of 79391
Prime factors of 79391 are 13, 31, 197. Prime factorization of 79391 in exponential form is:
79391 = 131 × 311 × 1971
Now multiplying the highest exponent prime factors to calculate the LCM of 79383 and 79391.
LCM(79383,79391) = 31 × 471 × 5631 × 131 × 311 × 1971
LCM(79383,79391) = 6302295753
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