What is the Least Common Multiple of 62843 and 62847?
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 62843 and 62847 is 3949494021.
LCM(62843,62847) = 3949494021
Least Common Multiple of 62843 and 62847 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62843 and 62847, than apply into the LCM equation.
GCF(62843,62847) = 1
LCM(62843,62847) = ( 62843 × 62847) / 1
LCM(62843,62847) = 3949494021 / 1
LCM(62843,62847) = 3949494021
Least Common Multiple (LCM) of 62843 and 62847 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 62843 and 62847. First we will calculate the prime factors of 62843 and 62847.
Prime Factorization of 62843
Prime factors of 62843 are 11, 29, 197. Prime factorization of 62843 in exponential form is:
62843 = 111 × 291 × 1971
Prime Factorization of 62847
Prime factors of 62847 are 3, 6983. Prime factorization of 62847 in exponential form is:
62847 = 32 × 69831
Now multiplying the highest exponent prime factors to calculate the LCM of 62843 and 62847.
LCM(62843,62847) = 111 × 291 × 1971 × 32 × 69831
LCM(62843,62847) = 3949494021
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