What is the Least Common Multiple of 62831 and 62840?
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 62831 and 62840 is 3948300040.
LCM(62831,62840) = 3948300040
Least Common Multiple of 62831 and 62840 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62831 and 62840, than apply into the LCM equation.
GCF(62831,62840) = 1
LCM(62831,62840) = ( 62831 × 62840) / 1
LCM(62831,62840) = 3948300040 / 1
LCM(62831,62840) = 3948300040
Least Common Multiple (LCM) of 62831 and 62840 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 62831 and 62840. First we will calculate the prime factors of 62831 and 62840.
Prime Factorization of 62831
Prime factors of 62831 are 83, 757. Prime factorization of 62831 in exponential form is:
62831 = 831 × 7571
Prime Factorization of 62840
Prime factors of 62840 are 2, 5, 1571. Prime factorization of 62840 in exponential form is:
62840 = 23 × 51 × 15711
Now multiplying the highest exponent prime factors to calculate the LCM of 62831 and 62840.
LCM(62831,62840) = 831 × 7571 × 23 × 51 × 15711
LCM(62831,62840) = 3948300040
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