What is the Least Common Multiple of 68651 and 68655?
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 68651 and 68655 is 4713234405.
LCM(68651,68655) = 4713234405
Least Common Multiple of 68651 and 68655 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68651 and 68655, than apply into the LCM equation.
GCF(68651,68655) = 1
LCM(68651,68655) = ( 68651 × 68655) / 1
LCM(68651,68655) = 4713234405 / 1
LCM(68651,68655) = 4713234405
Least Common Multiple (LCM) of 68651 and 68655 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 68651 and 68655. First we will calculate the prime factors of 68651 and 68655.
Prime Factorization of 68651
Prime factors of 68651 are 11, 79. Prime factorization of 68651 in exponential form is:
68651 = 111 × 792
Prime Factorization of 68655
Prime factors of 68655 are 3, 5, 23, 199. Prime factorization of 68655 in exponential form is:
68655 = 31 × 51 × 231 × 1991
Now multiplying the highest exponent prime factors to calculate the LCM of 68651 and 68655.
LCM(68651,68655) = 111 × 792 × 31 × 51 × 231 × 1991
LCM(68651,68655) = 4713234405
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