What is the Least Common Multiple of 57966 and 57982?
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 57966 and 57982 is 1680492306.
LCM(57966,57982) = 1680492306
Least Common Multiple of 57966 and 57982 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57966 and 57982, than apply into the LCM equation.
GCF(57966,57982) = 2
LCM(57966,57982) = ( 57966 × 57982) / 2
LCM(57966,57982) = 3360984612 / 2
LCM(57966,57982) = 1680492306
Least Common Multiple (LCM) of 57966 and 57982 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 57966 and 57982. First we will calculate the prime factors of 57966 and 57982.
Prime Factorization of 57966
Prime factors of 57966 are 2, 3, 9661. Prime factorization of 57966 in exponential form is:
57966 = 21 × 31 × 96611
Prime Factorization of 57982
Prime factors of 57982 are 2, 53, 547. Prime factorization of 57982 in exponential form is:
57982 = 21 × 531 × 5471
Now multiplying the highest exponent prime factors to calculate the LCM of 57966 and 57982.
LCM(57966,57982) = 21 × 31 × 96611 × 531 × 5471
LCM(57966,57982) = 1680492306
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