What is the Least Common Multiple of 67846 and 67863?
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 67846 and 67863 is 4604233098.
LCM(67846,67863) = 4604233098
Least Common Multiple of 67846 and 67863 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67846 and 67863, than apply into the LCM equation.
GCF(67846,67863) = 1
LCM(67846,67863) = ( 67846 × 67863) / 1
LCM(67846,67863) = 4604233098 / 1
LCM(67846,67863) = 4604233098
Least Common Multiple (LCM) of 67846 and 67863 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 67846 and 67863. First we will calculate the prime factors of 67846 and 67863.
Prime Factorization of 67846
Prime factors of 67846 are 2, 33923. Prime factorization of 67846 in exponential form is:
67846 = 21 × 339231
Prime Factorization of 67863
Prime factors of 67863 are 3, 22621. Prime factorization of 67863 in exponential form is:
67863 = 31 × 226211
Now multiplying the highest exponent prime factors to calculate the LCM of 67846 and 67863.
LCM(67846,67863) = 21 × 339231 × 31 × 226211
LCM(67846,67863) = 4604233098
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