What is the Least Common Multiple of 67787 and 67806?
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 67787 and 67806 is 4596365322.
LCM(67787,67806) = 4596365322
Least Common Multiple of 67787 and 67806 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67787 and 67806, than apply into the LCM equation.
GCF(67787,67806) = 1
LCM(67787,67806) = ( 67787 × 67806) / 1
LCM(67787,67806) = 4596365322 / 1
LCM(67787,67806) = 4596365322
Least Common Multiple (LCM) of 67787 and 67806 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 67787 and 67806. First we will calculate the prime factors of 67787 and 67806.
Prime Factorization of 67787
Prime factors of 67787 are 53, 1279. Prime factorization of 67787 in exponential form is:
67787 = 531 × 12791
Prime Factorization of 67806
Prime factors of 67806 are 2, 3, 3767. Prime factorization of 67806 in exponential form is:
67806 = 21 × 32 × 37671
Now multiplying the highest exponent prime factors to calculate the LCM of 67787 and 67806.
LCM(67787,67806) = 531 × 12791 × 21 × 32 × 37671
LCM(67787,67806) = 4596365322
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