What is the Least Common Multiple of 61157 and 61161?
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 61157 and 61161 is 3740423277.
LCM(61157,61161) = 3740423277
Least Common Multiple of 61157 and 61161 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61157 and 61161, than apply into the LCM equation.
GCF(61157,61161) = 1
LCM(61157,61161) = ( 61157 × 61161) / 1
LCM(61157,61161) = 3740423277 / 1
LCM(61157,61161) = 3740423277
Least Common Multiple (LCM) of 61157 and 61161 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 61157 and 61161. First we will calculate the prime factors of 61157 and 61161.
Prime Factorization of 61157
Prime factors of 61157 are 23, 2659. Prime factorization of 61157 in exponential form is:
61157 = 231 × 26591
Prime Factorization of 61161
Prime factors of 61161 are 3, 19, 29, 37. Prime factorization of 61161 in exponential form is:
61161 = 31 × 191 × 291 × 371
Now multiplying the highest exponent prime factors to calculate the LCM of 61157 and 61161.
LCM(61157,61161) = 231 × 26591 × 31 × 191 × 291 × 371
LCM(61157,61161) = 3740423277
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