What is the Least Common Multiple of 62817 and 62831?
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 62817 and 62831 is 3946854927.
LCM(62817,62831) = 3946854927
Least Common Multiple of 62817 and 62831 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62817 and 62831, than apply into the LCM equation.
GCF(62817,62831) = 1
LCM(62817,62831) = ( 62817 × 62831) / 1
LCM(62817,62831) = 3946854927 / 1
LCM(62817,62831) = 3946854927
Least Common Multiple (LCM) of 62817 and 62831 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 62817 and 62831. First we will calculate the prime factors of 62817 and 62831.
Prime Factorization of 62817
Prime factors of 62817 are 3, 20939. Prime factorization of 62817 in exponential form is:
62817 = 31 × 209391
Prime Factorization of 62831
Prime factors of 62831 are 83, 757. Prime factorization of 62831 in exponential form is:
62831 = 831 × 7571
Now multiplying the highest exponent prime factors to calculate the LCM of 62817 and 62831.
LCM(62817,62831) = 31 × 209391 × 831 × 7571
LCM(62817,62831) = 3946854927
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