What is the Least Common Multiple of 68308 and 68315?
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 68308 and 68315 is 4666461020.
LCM(68308,68315) = 4666461020
Least Common Multiple of 68308 and 68315 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68308 and 68315, than apply into the LCM equation.
GCF(68308,68315) = 1
LCM(68308,68315) = ( 68308 × 68315) / 1
LCM(68308,68315) = 4666461020 / 1
LCM(68308,68315) = 4666461020
Least Common Multiple (LCM) of 68308 and 68315 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 68308 and 68315. First we will calculate the prime factors of 68308 and 68315.
Prime Factorization of 68308
Prime factors of 68308 are 2, 17077. Prime factorization of 68308 in exponential form is:
68308 = 22 × 170771
Prime Factorization of 68315
Prime factors of 68315 are 5, 13, 1051. Prime factorization of 68315 in exponential form is:
68315 = 51 × 131 × 10511
Now multiplying the highest exponent prime factors to calculate the LCM of 68308 and 68315.
LCM(68308,68315) = 22 × 170771 × 51 × 131 × 10511
LCM(68308,68315) = 4666461020
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