What is the Least Common Multiple of 62231 and 62235?
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 62231 and 62235 is 3872946285.
LCM(62231,62235) = 3872946285
Least Common Multiple of 62231 and 62235 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62231 and 62235, than apply into the LCM equation.
GCF(62231,62235) = 1
LCM(62231,62235) = ( 62231 × 62235) / 1
LCM(62231,62235) = 3872946285 / 1
LCM(62231,62235) = 3872946285
Least Common Multiple (LCM) of 62231 and 62235 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 62231 and 62235. First we will calculate the prime factors of 62231 and 62235.
Prime Factorization of 62231
Prime factors of 62231 are 13, 4787. Prime factorization of 62231 in exponential form is:
62231 = 131 × 47871
Prime Factorization of 62235
Prime factors of 62235 are 3, 5, 461. Prime factorization of 62235 in exponential form is:
62235 = 33 × 51 × 4611
Now multiplying the highest exponent prime factors to calculate the LCM of 62231 and 62235.
LCM(62231,62235) = 131 × 47871 × 33 × 51 × 4611
LCM(62231,62235) = 3872946285
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