What is the Least Common Multiple of 62862 and 62875?
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 62862 and 62875 is 3952448250.
LCM(62862,62875) = 3952448250
Least Common Multiple of 62862 and 62875 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62862 and 62875, than apply into the LCM equation.
GCF(62862,62875) = 1
LCM(62862,62875) = ( 62862 × 62875) / 1
LCM(62862,62875) = 3952448250 / 1
LCM(62862,62875) = 3952448250
Least Common Multiple (LCM) of 62862 and 62875 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 62862 and 62875. First we will calculate the prime factors of 62862 and 62875.
Prime Factorization of 62862
Prime factors of 62862 are 2, 3, 10477. Prime factorization of 62862 in exponential form is:
62862 = 21 × 31 × 104771
Prime Factorization of 62875
Prime factors of 62875 are 5, 503. Prime factorization of 62875 in exponential form is:
62875 = 53 × 5031
Now multiplying the highest exponent prime factors to calculate the LCM of 62862 and 62875.
LCM(62862,62875) = 21 × 31 × 104771 × 53 × 5031
LCM(62862,62875) = 3952448250
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