What is the Least Common Multiple of 62911 and 62922?
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 62911 and 62922 is 3958485942.
LCM(62911,62922) = 3958485942
Least Common Multiple of 62911 and 62922 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62911 and 62922, than apply into the LCM equation.
GCF(62911,62922) = 1
LCM(62911,62922) = ( 62911 × 62922) / 1
LCM(62911,62922) = 3958485942 / 1
LCM(62911,62922) = 3958485942
Least Common Multiple (LCM) of 62911 and 62922 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 62911 and 62922. First we will calculate the prime factors of 62911 and 62922.
Prime Factorization of 62911
Prime factors of 62911 are 53, 1187. Prime factorization of 62911 in exponential form is:
62911 = 531 × 11871
Prime Factorization of 62922
Prime factors of 62922 are 2, 3, 10487. Prime factorization of 62922 in exponential form is:
62922 = 21 × 31 × 104871
Now multiplying the highest exponent prime factors to calculate the LCM of 62911 and 62922.
LCM(62911,62922) = 531 × 11871 × 21 × 31 × 104871
LCM(62911,62922) = 3958485942
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