What is the Least Common Multiple of 70391 and 70395?
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 70391 and 70395 is 4955174445.
LCM(70391,70395) = 4955174445
Least Common Multiple of 70391 and 70395 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70391 and 70395, than apply into the LCM equation.
GCF(70391,70395) = 1
LCM(70391,70395) = ( 70391 × 70395) / 1
LCM(70391,70395) = 4955174445 / 1
LCM(70391,70395) = 4955174445
Least Common Multiple (LCM) of 70391 and 70395 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 70391 and 70395. First we will calculate the prime factors of 70391 and 70395.
Prime Factorization of 70391
Prime factors of 70391 are 43, 1637. Prime factorization of 70391 in exponential form is:
70391 = 431 × 16371
Prime Factorization of 70395
Prime factors of 70395 are 3, 5, 13, 19. Prime factorization of 70395 in exponential form is:
70395 = 31 × 51 × 131 × 192
Now multiplying the highest exponent prime factors to calculate the LCM of 70391 and 70395.
LCM(70391,70395) = 431 × 16371 × 31 × 51 × 131 × 192
LCM(70391,70395) = 4955174445
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