What is the Least Common Multiple of 58377 and 58383?
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 58377 and 58383 is 1136074797.
LCM(58377,58383) = 1136074797
Least Common Multiple of 58377 and 58383 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58377 and 58383, than apply into the LCM equation.
GCF(58377,58383) = 3
LCM(58377,58383) = ( 58377 × 58383) / 3
LCM(58377,58383) = 3408224391 / 3
LCM(58377,58383) = 1136074797
Least Common Multiple (LCM) of 58377 and 58383 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 58377 and 58383. First we will calculate the prime factors of 58377 and 58383.
Prime Factorization of 58377
Prime factors of 58377 are 3, 11, 29, 61. Prime factorization of 58377 in exponential form is:
58377 = 31 × 111 × 291 × 611
Prime Factorization of 58383
Prime factors of 58383 are 3, 13, 499. Prime factorization of 58383 in exponential form is:
58383 = 32 × 131 × 4991
Now multiplying the highest exponent prime factors to calculate the LCM of 58377 and 58383.
LCM(58377,58383) = 32 × 111 × 291 × 611 × 131 × 4991
LCM(58377,58383) = 1136074797
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