What is the Least Common Multiple of 57057 and 57072?
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 57057 and 57072 is 1085452368.
LCM(57057,57072) = 1085452368
Least Common Multiple of 57057 and 57072 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57057 and 57072, than apply into the LCM equation.
GCF(57057,57072) = 3
LCM(57057,57072) = ( 57057 × 57072) / 3
LCM(57057,57072) = 3256357104 / 3
LCM(57057,57072) = 1085452368
Least Common Multiple (LCM) of 57057 and 57072 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 57057 and 57072. First we will calculate the prime factors of 57057 and 57072.
Prime Factorization of 57057
Prime factors of 57057 are 3, 7, 11, 13, 19. Prime factorization of 57057 in exponential form is:
57057 = 31 × 71 × 111 × 131 × 191
Prime Factorization of 57072
Prime factors of 57072 are 2, 3, 29, 41. Prime factorization of 57072 in exponential form is:
57072 = 24 × 31 × 291 × 411
Now multiplying the highest exponent prime factors to calculate the LCM of 57057 and 57072.
LCM(57057,57072) = 31 × 71 × 111 × 131 × 191 × 24 × 291 × 411
LCM(57057,57072) = 1085452368
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