What is the Least Common Multiple of 62931 and 62938?
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 62931 and 62938 is 3960751278.
LCM(62931,62938) = 3960751278
Least Common Multiple of 62931 and 62938 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62931 and 62938, than apply into the LCM equation.
GCF(62931,62938) = 1
LCM(62931,62938) = ( 62931 × 62938) / 1
LCM(62931,62938) = 3960751278 / 1
LCM(62931,62938) = 3960751278
Least Common Multiple (LCM) of 62931 and 62938 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 62931 and 62938. First we will calculate the prime factors of 62931 and 62938.
Prime Factorization of 62931
Prime factors of 62931 are 3, 11, 1907. Prime factorization of 62931 in exponential form is:
62931 = 31 × 111 × 19071
Prime Factorization of 62938
Prime factors of 62938 are 2, 31469. Prime factorization of 62938 in exponential form is:
62938 = 21 × 314691
Now multiplying the highest exponent prime factors to calculate the LCM of 62931 and 62938.
LCM(62931,62938) = 31 × 111 × 19071 × 21 × 314691
LCM(62931,62938) = 3960751278
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