What is the Least Common Multiple of 68485 and 68489?
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 68485 and 68489 is 4690469165.
LCM(68485,68489) = 4690469165
Least Common Multiple of 68485 and 68489 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68485 and 68489, than apply into the LCM equation.
GCF(68485,68489) = 1
LCM(68485,68489) = ( 68485 × 68489) / 1
LCM(68485,68489) = 4690469165 / 1
LCM(68485,68489) = 4690469165
Least Common Multiple (LCM) of 68485 and 68489 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 68485 and 68489. First we will calculate the prime factors of 68485 and 68489.
Prime Factorization of 68485
Prime factors of 68485 are 5, 13697. Prime factorization of 68485 in exponential form is:
68485 = 51 × 136971
Prime Factorization of 68489
Prime factors of 68489 are 68489. Prime factorization of 68489 in exponential form is:
68489 = 684891
Now multiplying the highest exponent prime factors to calculate the LCM of 68485 and 68489.
LCM(68485,68489) = 51 × 136971 × 684891
LCM(68485,68489) = 4690469165
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