What is the Least Common Multiple of 58822 and 58837?
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 58822 and 58837 is 3460910014.
LCM(58822,58837) = 3460910014
Least Common Multiple of 58822 and 58837 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58822 and 58837, than apply into the LCM equation.
GCF(58822,58837) = 1
LCM(58822,58837) = ( 58822 × 58837) / 1
LCM(58822,58837) = 3460910014 / 1
LCM(58822,58837) = 3460910014
Least Common Multiple (LCM) of 58822 and 58837 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 58822 and 58837. First we will calculate the prime factors of 58822 and 58837.
Prime Factorization of 58822
Prime factors of 58822 are 2, 29411. Prime factorization of 58822 in exponential form is:
58822 = 21 × 294111
Prime Factorization of 58837
Prime factors of 58837 are 17, 3461. Prime factorization of 58837 in exponential form is:
58837 = 171 × 34611
Now multiplying the highest exponent prime factors to calculate the LCM of 58822 and 58837.
LCM(58822,58837) = 21 × 294111 × 171 × 34611
LCM(58822,58837) = 3460910014
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