What is the Least Common Multiple of 57086 and 57094?
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 57086 and 57094 is 1629634042.
LCM(57086,57094) = 1629634042
Least Common Multiple of 57086 and 57094 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57086 and 57094, than apply into the LCM equation.
GCF(57086,57094) = 2
LCM(57086,57094) = ( 57086 × 57094) / 2
LCM(57086,57094) = 3259268084 / 2
LCM(57086,57094) = 1629634042
Least Common Multiple (LCM) of 57086 and 57094 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 57086 and 57094. First we will calculate the prime factors of 57086 and 57094.
Prime Factorization of 57086
Prime factors of 57086 are 2, 17, 23, 73. Prime factorization of 57086 in exponential form is:
57086 = 21 × 171 × 231 × 731
Prime Factorization of 57094
Prime factors of 57094 are 2, 28547. Prime factorization of 57094 in exponential form is:
57094 = 21 × 285471
Now multiplying the highest exponent prime factors to calculate the LCM of 57086 and 57094.
LCM(57086,57094) = 21 × 171 × 231 × 731 × 285471
LCM(57086,57094) = 1629634042
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