What is the Least Common Multiple of 62930 and 62935?
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 62930 and 62935 is 792099910.
LCM(62930,62935) = 792099910
Least Common Multiple of 62930 and 62935 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62930 and 62935, than apply into the LCM equation.
GCF(62930,62935) = 5
LCM(62930,62935) = ( 62930 × 62935) / 5
LCM(62930,62935) = 3960499550 / 5
LCM(62930,62935) = 792099910
Least Common Multiple (LCM) of 62930 and 62935 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 62930 and 62935. First we will calculate the prime factors of 62930 and 62935.
Prime Factorization of 62930
Prime factors of 62930 are 2, 5, 7, 29, 31. Prime factorization of 62930 in exponential form is:
62930 = 21 × 51 × 71 × 291 × 311
Prime Factorization of 62935
Prime factors of 62935 are 5, 41, 307. Prime factorization of 62935 in exponential form is:
62935 = 51 × 411 × 3071
Now multiplying the highest exponent prime factors to calculate the LCM of 62930 and 62935.
LCM(62930,62935) = 21 × 51 × 71 × 291 × 311 × 411 × 3071
LCM(62930,62935) = 792099910
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