What is the Least Common Multiple of 68049 and 68056?
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 68049 and 68056 is 4631142744.
LCM(68049,68056) = 4631142744
Least Common Multiple of 68049 and 68056 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68049 and 68056, than apply into the LCM equation.
GCF(68049,68056) = 1
LCM(68049,68056) = ( 68049 × 68056) / 1
LCM(68049,68056) = 4631142744 / 1
LCM(68049,68056) = 4631142744
Least Common Multiple (LCM) of 68049 and 68056 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 68049 and 68056. First we will calculate the prime factors of 68049 and 68056.
Prime Factorization of 68049
Prime factors of 68049 are 3, 7561. Prime factorization of 68049 in exponential form is:
68049 = 32 × 75611
Prime Factorization of 68056
Prime factors of 68056 are 2, 47, 181. Prime factorization of 68056 in exponential form is:
68056 = 23 × 471 × 1811
Now multiplying the highest exponent prime factors to calculate the LCM of 68049 and 68056.
LCM(68049,68056) = 32 × 75611 × 23 × 471 × 1811
LCM(68049,68056) = 4631142744
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