What is the Least Common Multiple of 62822 and 62842?
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 62822 and 62842 is 1973930062.
LCM(62822,62842) = 1973930062
Least Common Multiple of 62822 and 62842 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62822 and 62842, than apply into the LCM equation.
GCF(62822,62842) = 2
LCM(62822,62842) = ( 62822 × 62842) / 2
LCM(62822,62842) = 3947860124 / 2
LCM(62822,62842) = 1973930062
Least Common Multiple (LCM) of 62822 and 62842 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 62822 and 62842. First we will calculate the prime factors of 62822 and 62842.
Prime Factorization of 62822
Prime factors of 62822 are 2, 101, 311. Prime factorization of 62822 in exponential form is:
62822 = 21 × 1011 × 3111
Prime Factorization of 62842
Prime factors of 62842 are 2, 13, 2417. Prime factorization of 62842 in exponential form is:
62842 = 21 × 131 × 24171
Now multiplying the highest exponent prime factors to calculate the LCM of 62822 and 62842.
LCM(62822,62842) = 21 × 1011 × 3111 × 131 × 24171
LCM(62822,62842) = 1973930062
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