What is the Least Common Multiple of 57815 and 57834?
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 57815 and 57834 is 3343672710.
LCM(57815,57834) = 3343672710
Least Common Multiple of 57815 and 57834 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57815 and 57834, than apply into the LCM equation.
GCF(57815,57834) = 1
LCM(57815,57834) = ( 57815 × 57834) / 1
LCM(57815,57834) = 3343672710 / 1
LCM(57815,57834) = 3343672710
Least Common Multiple (LCM) of 57815 and 57834 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 57815 and 57834. First we will calculate the prime factors of 57815 and 57834.
Prime Factorization of 57815
Prime factors of 57815 are 5, 31, 373. Prime factorization of 57815 in exponential form is:
57815 = 51 × 311 × 3731
Prime Factorization of 57834
Prime factors of 57834 are 2, 3, 7, 17. Prime factorization of 57834 in exponential form is:
57834 = 21 × 35 × 71 × 171
Now multiplying the highest exponent prime factors to calculate the LCM of 57815 and 57834.
LCM(57815,57834) = 51 × 311 × 3731 × 21 × 35 × 71 × 171
LCM(57815,57834) = 3343672710
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