What is the Least Common Multiple of 67878 and 67897?
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 67878 and 67897 is 4608712566.
LCM(67878,67897) = 4608712566
Least Common Multiple of 67878 and 67897 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67878 and 67897, than apply into the LCM equation.
GCF(67878,67897) = 1
LCM(67878,67897) = ( 67878 × 67897) / 1
LCM(67878,67897) = 4608712566 / 1
LCM(67878,67897) = 4608712566
Least Common Multiple (LCM) of 67878 and 67897 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 67878 and 67897. First we will calculate the prime factors of 67878 and 67897.
Prime Factorization of 67878
Prime factors of 67878 are 2, 3, 419. Prime factorization of 67878 in exponential form is:
67878 = 21 × 34 × 4191
Prime Factorization of 67897
Prime factors of 67897 are 43, 1579. Prime factorization of 67897 in exponential form is:
67897 = 431 × 15791
Now multiplying the highest exponent prime factors to calculate the LCM of 67878 and 67897.
LCM(67878,67897) = 21 × 34 × 4191 × 431 × 15791
LCM(67878,67897) = 4608712566
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