What is the Least Common Multiple of 68406 and 68411?
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 68406 and 68411 is 4679722866.
LCM(68406,68411) = 4679722866
Least Common Multiple of 68406 and 68411 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68406 and 68411, than apply into the LCM equation.
GCF(68406,68411) = 1
LCM(68406,68411) = ( 68406 × 68411) / 1
LCM(68406,68411) = 4679722866 / 1
LCM(68406,68411) = 4679722866
Least Common Multiple (LCM) of 68406 and 68411 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 68406 and 68411. First we will calculate the prime factors of 68406 and 68411.
Prime Factorization of 68406
Prime factors of 68406 are 2, 3, 13, 877. Prime factorization of 68406 in exponential form is:
68406 = 21 × 31 × 131 × 8771
Prime Factorization of 68411
Prime factors of 68411 are 7, 29, 337. Prime factorization of 68411 in exponential form is:
68411 = 71 × 291 × 3371
Now multiplying the highest exponent prime factors to calculate the LCM of 68406 and 68411.
LCM(68406,68411) = 21 × 31 × 131 × 8771 × 71 × 291 × 3371
LCM(68406,68411) = 4679722866
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