What is the Least Common Multiple of 61843 and 61861?
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 61843 and 61861 is 3825669823.
LCM(61843,61861) = 3825669823
Least Common Multiple of 61843 and 61861 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61843 and 61861, than apply into the LCM equation.
GCF(61843,61861) = 1
LCM(61843,61861) = ( 61843 × 61861) / 1
LCM(61843,61861) = 3825669823 / 1
LCM(61843,61861) = 3825669823
Least Common Multiple (LCM) of 61843 and 61861 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 61843 and 61861. First we will calculate the prime factors of 61843 and 61861.
Prime Factorization of 61843
Prime factors of 61843 are 61843. Prime factorization of 61843 in exponential form is:
61843 = 618431
Prime Factorization of 61861
Prime factors of 61861 are 61861. Prime factorization of 61861 in exponential form is:
61861 = 618611
Now multiplying the highest exponent prime factors to calculate the LCM of 61843 and 61861.
LCM(61843,61861) = 618431 × 618611
LCM(61843,61861) = 3825669823
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