What is the Least Common Multiple of 62847 and 62854?
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 62847 and 62854 is 3950185338.
LCM(62847,62854) = 3950185338
Least Common Multiple of 62847 and 62854 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62847 and 62854, than apply into the LCM equation.
GCF(62847,62854) = 1
LCM(62847,62854) = ( 62847 × 62854) / 1
LCM(62847,62854) = 3950185338 / 1
LCM(62847,62854) = 3950185338
Least Common Multiple (LCM) of 62847 and 62854 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 62847 and 62854. First we will calculate the prime factors of 62847 and 62854.
Prime Factorization of 62847
Prime factors of 62847 are 3, 6983. Prime factorization of 62847 in exponential form is:
62847 = 32 × 69831
Prime Factorization of 62854
Prime factors of 62854 are 2, 11, 2857. Prime factorization of 62854 in exponential form is:
62854 = 21 × 111 × 28571
Now multiplying the highest exponent prime factors to calculate the LCM of 62847 and 62854.
LCM(62847,62854) = 32 × 69831 × 21 × 111 × 28571
LCM(62847,62854) = 3950185338
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