What is the Least Common Multiple of 67839 and 67857?
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 67839 and 67857 is 1534450341.
LCM(67839,67857) = 1534450341
Least Common Multiple of 67839 and 67857 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67839 and 67857, than apply into the LCM equation.
GCF(67839,67857) = 3
LCM(67839,67857) = ( 67839 × 67857) / 3
LCM(67839,67857) = 4603351023 / 3
LCM(67839,67857) = 1534450341
Least Common Multiple (LCM) of 67839 and 67857 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 67839 and 67857. First we will calculate the prime factors of 67839 and 67857.
Prime Factorization of 67839
Prime factors of 67839 are 3, 22613. Prime factorization of 67839 in exponential form is:
67839 = 31 × 226131
Prime Factorization of 67857
Prime factors of 67857 are 3, 22619. Prime factorization of 67857 in exponential form is:
67857 = 31 × 226191
Now multiplying the highest exponent prime factors to calculate the LCM of 67839 and 67857.
LCM(67839,67857) = 31 × 226131 × 226191
LCM(67839,67857) = 1534450341
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