What is the Least Common Multiple of 3235 and 3247?
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 3235 and 3247 is 10504045.
LCM(3235,3247) = 10504045
Least Common Multiple of 3235 and 3247 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3235 and 3247, than apply into the LCM equation.
GCF(3235,3247) = 1
LCM(3235,3247) = ( 3235 × 3247) / 1
LCM(3235,3247) = 10504045 / 1
LCM(3235,3247) = 10504045
Least Common Multiple (LCM) of 3235 and 3247 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 3235 and 3247. First we will calculate the prime factors of 3235 and 3247.
Prime Factorization of 3235
Prime factors of 3235 are 5, 647. Prime factorization of 3235 in exponential form is:
3235 = 51 × 6471
Prime Factorization of 3247
Prime factors of 3247 are 17, 191. Prime factorization of 3247 in exponential form is:
3247 = 171 × 1911
Now multiplying the highest exponent prime factors to calculate the LCM of 3235 and 3247.
LCM(3235,3247) = 51 × 6471 × 171 × 1911
LCM(3235,3247) = 10504045
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