What is the Least Common Multiple of 62911 and 62931?
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 62931 is 3959052141.
LCM(62911,62931) = 3959052141
Least Common Multiple of 62911 and 62931 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 62931, than apply into the LCM equation.
GCF(62911,62931) = 1
LCM(62911,62931) = ( 62911 × 62931) / 1
LCM(62911,62931) = 3959052141 / 1
LCM(62911,62931) = 3959052141
Least Common Multiple (LCM) of 62911 and 62931 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 62911 and 62931. First we will calculate the prime factors of 62911 and 62931.
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 62931
Prime factors of 62931 are 3, 11, 1907. Prime factorization of 62931 in exponential form is:
62931 = 31 × 111 × 19071
Now multiplying the highest exponent prime factors to calculate the LCM of 62911 and 62931.
LCM(62911,62931) = 531 × 11871 × 31 × 111 × 19071
LCM(62911,62931) = 3959052141
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