What is the Least Common Multiple of 62030 and 62041?
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 62030 and 62041 is 3848403230.
LCM(62030,62041) = 3848403230
Least Common Multiple of 62030 and 62041 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62030 and 62041, than apply into the LCM equation.
GCF(62030,62041) = 1
LCM(62030,62041) = ( 62030 × 62041) / 1
LCM(62030,62041) = 3848403230 / 1
LCM(62030,62041) = 3848403230
Least Common Multiple (LCM) of 62030 and 62041 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 62030 and 62041. First we will calculate the prime factors of 62030 and 62041.
Prime Factorization of 62030
Prime factors of 62030 are 2, 5, 6203. Prime factorization of 62030 in exponential form is:
62030 = 21 × 51 × 62031
Prime Factorization of 62041
Prime factors of 62041 are 7, 8863. Prime factorization of 62041 in exponential form is:
62041 = 71 × 88631
Now multiplying the highest exponent prime factors to calculate the LCM of 62030 and 62041.
LCM(62030,62041) = 21 × 51 × 62031 × 71 × 88631
LCM(62030,62041) = 3848403230
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