What is the Least Common Multiple of 68815 and 68831?
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 68815 and 68831 is 4736605265.
LCM(68815,68831) = 4736605265
Least Common Multiple of 68815 and 68831 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68815 and 68831, than apply into the LCM equation.
GCF(68815,68831) = 1
LCM(68815,68831) = ( 68815 × 68831) / 1
LCM(68815,68831) = 4736605265 / 1
LCM(68815,68831) = 4736605265
Least Common Multiple (LCM) of 68815 and 68831 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 68815 and 68831. First we will calculate the prime factors of 68815 and 68831.
Prime Factorization of 68815
Prime factors of 68815 are 5, 13763. Prime factorization of 68815 in exponential form is:
68815 = 51 × 137631
Prime Factorization of 68831
Prime factors of 68831 are 7, 9833. Prime factorization of 68831 in exponential form is:
68831 = 71 × 98331
Now multiplying the highest exponent prime factors to calculate the LCM of 68815 and 68831.
LCM(68815,68831) = 51 × 137631 × 71 × 98331
LCM(68815,68831) = 4736605265
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