What is the Least Common Multiple of 70327 and 70341?
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 70327 and 70341 is 4946871507.
LCM(70327,70341) = 4946871507
Least Common Multiple of 70327 and 70341 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70327 and 70341, than apply into the LCM equation.
GCF(70327,70341) = 1
LCM(70327,70341) = ( 70327 × 70341) / 1
LCM(70327,70341) = 4946871507 / 1
LCM(70327,70341) = 4946871507
Least Common Multiple (LCM) of 70327 and 70341 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 70327 and 70341. First we will calculate the prime factors of 70327 and 70341.
Prime Factorization of 70327
Prime factors of 70327 are 70327. Prime factorization of 70327 in exponential form is:
70327 = 703271
Prime Factorization of 70341
Prime factors of 70341 are 3, 23447. Prime factorization of 70341 in exponential form is:
70341 = 31 × 234471
Now multiplying the highest exponent prime factors to calculate the LCM of 70327 and 70341.
LCM(70327,70341) = 703271 × 31 × 234471
LCM(70327,70341) = 4946871507
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