What is the Least Common Multiple of 6247 and 6265?
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 6247 and 6265 is 39137455.
LCM(6247,6265) = 39137455
Least Common Multiple of 6247 and 6265 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6247 and 6265, than apply into the LCM equation.
GCF(6247,6265) = 1
LCM(6247,6265) = ( 6247 × 6265) / 1
LCM(6247,6265) = 39137455 / 1
LCM(6247,6265) = 39137455
Least Common Multiple (LCM) of 6247 and 6265 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 6247 and 6265. First we will calculate the prime factors of 6247 and 6265.
Prime Factorization of 6247
Prime factors of 6247 are 6247. Prime factorization of 6247 in exponential form is:
6247 = 62471
Prime Factorization of 6265
Prime factors of 6265 are 5, 7, 179. Prime factorization of 6265 in exponential form is:
6265 = 51 × 71 × 1791
Now multiplying the highest exponent prime factors to calculate the LCM of 6247 and 6265.
LCM(6247,6265) = 62471 × 51 × 71 × 1791
LCM(6247,6265) = 39137455
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