What is the Least Common Multiple of 62431 and 62440?
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 62431 and 62440 is 3898191640.
LCM(62431,62440) = 3898191640
Least Common Multiple of 62431 and 62440 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62431 and 62440, than apply into the LCM equation.
GCF(62431,62440) = 1
LCM(62431,62440) = ( 62431 × 62440) / 1
LCM(62431,62440) = 3898191640 / 1
LCM(62431,62440) = 3898191640
Least Common Multiple (LCM) of 62431 and 62440 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 62431 and 62440. First we will calculate the prime factors of 62431 and 62440.
Prime Factorization of 62431
Prime factors of 62431 are 149, 419. Prime factorization of 62431 in exponential form is:
62431 = 1491 × 4191
Prime Factorization of 62440
Prime factors of 62440 are 2, 5, 7, 223. Prime factorization of 62440 in exponential form is:
62440 = 23 × 51 × 71 × 2231
Now multiplying the highest exponent prime factors to calculate the LCM of 62431 and 62440.
LCM(62431,62440) = 1491 × 4191 × 23 × 51 × 71 × 2231
LCM(62431,62440) = 3898191640
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