What is the Least Common Multiple of 67657 and 67668?
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 67657 and 67668 is 4578213876.
LCM(67657,67668) = 4578213876
Least Common Multiple of 67657 and 67668 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67657 and 67668, than apply into the LCM equation.
GCF(67657,67668) = 1
LCM(67657,67668) = ( 67657 × 67668) / 1
LCM(67657,67668) = 4578213876 / 1
LCM(67657,67668) = 4578213876
Least Common Multiple (LCM) of 67657 and 67668 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 67657 and 67668. First we will calculate the prime factors of 67657 and 67668.
Prime Factorization of 67657
Prime factors of 67657 are 29, 2333. Prime factorization of 67657 in exponential form is:
67657 = 291 × 23331
Prime Factorization of 67668
Prime factors of 67668 are 2, 3, 5639. Prime factorization of 67668 in exponential form is:
67668 = 22 × 31 × 56391
Now multiplying the highest exponent prime factors to calculate the LCM of 67657 and 67668.
LCM(67657,67668) = 291 × 23331 × 22 × 31 × 56391
LCM(67657,67668) = 4578213876
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