What is the Least Common Multiple of 61847 and 61867?
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 61847 and 61867 is 3826288349.
LCM(61847,61867) = 3826288349
Least Common Multiple of 61847 and 61867 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61847 and 61867, than apply into the LCM equation.
GCF(61847,61867) = 1
LCM(61847,61867) = ( 61847 × 61867) / 1
LCM(61847,61867) = 3826288349 / 1
LCM(61847,61867) = 3826288349
Least Common Multiple (LCM) of 61847 and 61867 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 61847 and 61867. First we will calculate the prime factors of 61847 and 61867.
Prime Factorization of 61847
Prime factors of 61847 are 23, 2689. Prime factorization of 61847 in exponential form is:
61847 = 231 × 26891
Prime Factorization of 61867
Prime factors of 61867 are 13, 4759. Prime factorization of 61867 in exponential form is:
61867 = 131 × 47591
Now multiplying the highest exponent prime factors to calculate the LCM of 61847 and 61867.
LCM(61847,61867) = 231 × 26891 × 131 × 47591
LCM(61847,61867) = 3826288349
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