What is the Least Common Multiple of 70846 and 70855?
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 70846 and 70855 is 5019793330.
LCM(70846,70855) = 5019793330
Least Common Multiple of 70846 and 70855 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70846 and 70855, than apply into the LCM equation.
GCF(70846,70855) = 1
LCM(70846,70855) = ( 70846 × 70855) / 1
LCM(70846,70855) = 5019793330 / 1
LCM(70846,70855) = 5019793330
Least Common Multiple (LCM) of 70846 and 70855 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 70846 and 70855. First we will calculate the prime factors of 70846 and 70855.
Prime Factorization of 70846
Prime factors of 70846 are 2, 35423. Prime factorization of 70846 in exponential form is:
70846 = 21 × 354231
Prime Factorization of 70855
Prime factors of 70855 are 5, 37, 383. Prime factorization of 70855 in exponential form is:
70855 = 51 × 371 × 3831
Now multiplying the highest exponent prime factors to calculate the LCM of 70846 and 70855.
LCM(70846,70855) = 21 × 354231 × 51 × 371 × 3831
LCM(70846,70855) = 5019793330
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