What is the Least Common Multiple of 59334 and 59340?
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 59334 and 59340 is 586813260.
LCM(59334,59340) = 586813260
Least Common Multiple of 59334 and 59340 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59334 and 59340, than apply into the LCM equation.
GCF(59334,59340) = 6
LCM(59334,59340) = ( 59334 × 59340) / 6
LCM(59334,59340) = 3520879560 / 6
LCM(59334,59340) = 586813260
Least Common Multiple (LCM) of 59334 and 59340 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 59334 and 59340. First we will calculate the prime factors of 59334 and 59340.
Prime Factorization of 59334
Prime factors of 59334 are 2, 3, 11, 29, 31. Prime factorization of 59334 in exponential form is:
59334 = 21 × 31 × 111 × 291 × 311
Prime Factorization of 59340
Prime factors of 59340 are 2, 3, 5, 23, 43. Prime factorization of 59340 in exponential form is:
59340 = 22 × 31 × 51 × 231 × 431
Now multiplying the highest exponent prime factors to calculate the LCM of 59334 and 59340.
LCM(59334,59340) = 22 × 31 × 111 × 291 × 311 × 51 × 231 × 431
LCM(59334,59340) = 586813260
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Related Least Common Multiples of 59340
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