What is the Least Common Multiple of 61121 and 61139?
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 61121 and 61139 is 3736876819.
LCM(61121,61139) = 3736876819
Least Common Multiple of 61121 and 61139 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61121 and 61139, than apply into the LCM equation.
GCF(61121,61139) = 1
LCM(61121,61139) = ( 61121 × 61139) / 1
LCM(61121,61139) = 3736876819 / 1
LCM(61121,61139) = 3736876819
Least Common Multiple (LCM) of 61121 and 61139 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 61121 and 61139. First we will calculate the prime factors of 61121 and 61139.
Prime Factorization of 61121
Prime factors of 61121 are 61121. Prime factorization of 61121 in exponential form is:
61121 = 611211
Prime Factorization of 61139
Prime factors of 61139 are 13, 4703. Prime factorization of 61139 in exponential form is:
61139 = 131 × 47031
Now multiplying the highest exponent prime factors to calculate the LCM of 61121 and 61139.
LCM(61121,61139) = 611211 × 131 × 47031
LCM(61121,61139) = 3736876819
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