What is the Least Common Multiple of 68706 and 68716?
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 68706 and 68716 is 2360600748.
LCM(68706,68716) = 2360600748
Least Common Multiple of 68706 and 68716 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68706 and 68716, than apply into the LCM equation.
GCF(68706,68716) = 2
LCM(68706,68716) = ( 68706 × 68716) / 2
LCM(68706,68716) = 4721201496 / 2
LCM(68706,68716) = 2360600748
Least Common Multiple (LCM) of 68706 and 68716 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 68706 and 68716. First we will calculate the prime factors of 68706 and 68716.
Prime Factorization of 68706
Prime factors of 68706 are 2, 3, 11, 347. Prime factorization of 68706 in exponential form is:
68706 = 21 × 32 × 111 × 3471
Prime Factorization of 68716
Prime factors of 68716 are 2, 41, 419. Prime factorization of 68716 in exponential form is:
68716 = 22 × 411 × 4191
Now multiplying the highest exponent prime factors to calculate the LCM of 68706 and 68716.
LCM(68706,68716) = 22 × 32 × 111 × 3471 × 411 × 4191
LCM(68706,68716) = 2360600748
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