What is the Least Common Multiple of 62330 and 62337?
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 62330 and 62337 is 3885465210.
LCM(62330,62337) = 3885465210
Least Common Multiple of 62330 and 62337 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62330 and 62337, than apply into the LCM equation.
GCF(62330,62337) = 1
LCM(62330,62337) = ( 62330 × 62337) / 1
LCM(62330,62337) = 3885465210 / 1
LCM(62330,62337) = 3885465210
Least Common Multiple (LCM) of 62330 and 62337 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 62330 and 62337. First we will calculate the prime factors of 62330 and 62337.
Prime Factorization of 62330
Prime factors of 62330 are 2, 5, 23, 271. Prime factorization of 62330 in exponential form is:
62330 = 21 × 51 × 231 × 2711
Prime Factorization of 62337
Prime factors of 62337 are 3, 11, 1889. Prime factorization of 62337 in exponential form is:
62337 = 31 × 111 × 18891
Now multiplying the highest exponent prime factors to calculate the LCM of 62330 and 62337.
LCM(62330,62337) = 21 × 51 × 231 × 2711 × 31 × 111 × 18891
LCM(62330,62337) = 3885465210
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