What is the Least Common Multiple of 67783 and 67799?
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 67783 and 67799 is 4595619617.
LCM(67783,67799) = 4595619617
Least Common Multiple of 67783 and 67799 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67783 and 67799, than apply into the LCM equation.
GCF(67783,67799) = 1
LCM(67783,67799) = ( 67783 × 67799) / 1
LCM(67783,67799) = 4595619617 / 1
LCM(67783,67799) = 4595619617
Least Common Multiple (LCM) of 67783 and 67799 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 67783 and 67799. First we will calculate the prime factors of 67783 and 67799.
Prime Factorization of 67783
Prime factors of 67783 are 67783. Prime factorization of 67783 in exponential form is:
67783 = 677831
Prime Factorization of 67799
Prime factors of 67799 are 151, 449. Prime factorization of 67799 in exponential form is:
67799 = 1511 × 4491
Now multiplying the highest exponent prime factors to calculate the LCM of 67783 and 67799.
LCM(67783,67799) = 677831 × 1511 × 4491
LCM(67783,67799) = 4595619617
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