What is the Least Common Multiple of 68627 and 68640?
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 68627 and 68640 is 362350560.
LCM(68627,68640) = 362350560
Least Common Multiple of 68627 and 68640 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68627 and 68640, than apply into the LCM equation.
GCF(68627,68640) = 13
LCM(68627,68640) = ( 68627 × 68640) / 13
LCM(68627,68640) = 4710557280 / 13
LCM(68627,68640) = 362350560
Least Common Multiple (LCM) of 68627 and 68640 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 68627 and 68640. First we will calculate the prime factors of 68627 and 68640.
Prime Factorization of 68627
Prime factors of 68627 are 13, 5279. Prime factorization of 68627 in exponential form is:
68627 = 131 × 52791
Prime Factorization of 68640
Prime factors of 68640 are 2, 3, 5, 11, 13. Prime factorization of 68640 in exponential form is:
68640 = 25 × 31 × 51 × 111 × 131
Now multiplying the highest exponent prime factors to calculate the LCM of 68627 and 68640.
LCM(68627,68640) = 131 × 52791 × 25 × 31 × 51 × 111
LCM(68627,68640) = 362350560
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