What is the Least Common Multiple of 62113 and 62130?
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 62113 and 62130 is 3859080690.
LCM(62113,62130) = 3859080690
Least Common Multiple of 62113 and 62130 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62113 and 62130, than apply into the LCM equation.
GCF(62113,62130) = 1
LCM(62113,62130) = ( 62113 × 62130) / 1
LCM(62113,62130) = 3859080690 / 1
LCM(62113,62130) = 3859080690
Least Common Multiple (LCM) of 62113 and 62130 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 62113 and 62130. First we will calculate the prime factors of 62113 and 62130.
Prime Factorization of 62113
Prime factors of 62113 are 179, 347. Prime factorization of 62113 in exponential form is:
62113 = 1791 × 3471
Prime Factorization of 62130
Prime factors of 62130 are 2, 3, 5, 19, 109. Prime factorization of 62130 in exponential form is:
62130 = 21 × 31 × 51 × 191 × 1091
Now multiplying the highest exponent prime factors to calculate the LCM of 62113 and 62130.
LCM(62113,62130) = 1791 × 3471 × 21 × 31 × 51 × 191 × 1091
LCM(62113,62130) = 3859080690
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