What is the Least Common Multiple of 68295 and 68300?
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 68295 and 68300 is 932909700.
LCM(68295,68300) = 932909700
Least Common Multiple of 68295 and 68300 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68295 and 68300, than apply into the LCM equation.
GCF(68295,68300) = 5
LCM(68295,68300) = ( 68295 × 68300) / 5
LCM(68295,68300) = 4664548500 / 5
LCM(68295,68300) = 932909700
Least Common Multiple (LCM) of 68295 and 68300 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 68295 and 68300. First we will calculate the prime factors of 68295 and 68300.
Prime Factorization of 68295
Prime factors of 68295 are 3, 5, 29, 157. Prime factorization of 68295 in exponential form is:
68295 = 31 × 51 × 291 × 1571
Prime Factorization of 68300
Prime factors of 68300 are 2, 5, 683. Prime factorization of 68300 in exponential form is:
68300 = 22 × 52 × 6831
Now multiplying the highest exponent prime factors to calculate the LCM of 68295 and 68300.
LCM(68295,68300) = 31 × 52 × 291 × 1571 × 22 × 6831
LCM(68295,68300) = 932909700
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