What is the Least Common Multiple of 57478 and 57497?
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 57478 and 57497 is 3304812566.
LCM(57478,57497) = 3304812566
Least Common Multiple of 57478 and 57497 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57478 and 57497, than apply into the LCM equation.
GCF(57478,57497) = 1
LCM(57478,57497) = ( 57478 × 57497) / 1
LCM(57478,57497) = 3304812566 / 1
LCM(57478,57497) = 3304812566
Least Common Multiple (LCM) of 57478 and 57497 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 57478 and 57497. First we will calculate the prime factors of 57478 and 57497.
Prime Factorization of 57478
Prime factors of 57478 are 2, 29, 991. Prime factorization of 57478 in exponential form is:
57478 = 21 × 291 × 9911
Prime Factorization of 57497
Prime factors of 57497 are 11, 5227. Prime factorization of 57497 in exponential form is:
57497 = 111 × 52271
Now multiplying the highest exponent prime factors to calculate the LCM of 57478 and 57497.
LCM(57478,57497) = 21 × 291 × 9911 × 111 × 52271
LCM(57478,57497) = 3304812566
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