What is the Least Common Multiple of 62922 and 62930?
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 62922 and 62930 is 1979840730.
LCM(62922,62930) = 1979840730
Least Common Multiple of 62922 and 62930 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62922 and 62930, than apply into the LCM equation.
GCF(62922,62930) = 2
LCM(62922,62930) = ( 62922 × 62930) / 2
LCM(62922,62930) = 3959681460 / 2
LCM(62922,62930) = 1979840730
Least Common Multiple (LCM) of 62922 and 62930 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 62922 and 62930. First we will calculate the prime factors of 62922 and 62930.
Prime Factorization of 62922
Prime factors of 62922 are 2, 3, 10487. Prime factorization of 62922 in exponential form is:
62922 = 21 × 31 × 104871
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
Now multiplying the highest exponent prime factors to calculate the LCM of 62922 and 62930.
LCM(62922,62930) = 21 × 31 × 104871 × 51 × 71 × 291 × 311
LCM(62922,62930) = 1979840730
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