What is the Least Common Multiple of 57185 and 57190?
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 57185 and 57190 is 654082030.
LCM(57185,57190) = 654082030
Least Common Multiple of 57185 and 57190 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57185 and 57190, than apply into the LCM equation.
GCF(57185,57190) = 5
LCM(57185,57190) = ( 57185 × 57190) / 5
LCM(57185,57190) = 3270410150 / 5
LCM(57185,57190) = 654082030
Least Common Multiple (LCM) of 57185 and 57190 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 57185 and 57190. First we will calculate the prime factors of 57185 and 57190.
Prime Factorization of 57185
Prime factors of 57185 are 5, 11437. Prime factorization of 57185 in exponential form is:
57185 = 51 × 114371
Prime Factorization of 57190
Prime factors of 57190 are 2, 5, 7, 19, 43. Prime factorization of 57190 in exponential form is:
57190 = 21 × 51 × 71 × 191 × 431
Now multiplying the highest exponent prime factors to calculate the LCM of 57185 and 57190.
LCM(57185,57190) = 51 × 114371 × 21 × 71 × 191 × 431
LCM(57185,57190) = 654082030
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