What is the Least Common Multiple of 61081 and 61097?
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 61081 and 61097 is 3731865857.
LCM(61081,61097) = 3731865857
Least Common Multiple of 61081 and 61097 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61081 and 61097, than apply into the LCM equation.
GCF(61081,61097) = 1
LCM(61081,61097) = ( 61081 × 61097) / 1
LCM(61081,61097) = 3731865857 / 1
LCM(61081,61097) = 3731865857
Least Common Multiple (LCM) of 61081 and 61097 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 61081 and 61097. First we will calculate the prime factors of 61081 and 61097.
Prime Factorization of 61081
Prime factors of 61081 are 17, 3593. Prime factorization of 61081 in exponential form is:
61081 = 171 × 35931
Prime Factorization of 61097
Prime factors of 61097 are 107, 571. Prime factorization of 61097 in exponential form is:
61097 = 1071 × 5711
Now multiplying the highest exponent prime factors to calculate the LCM of 61081 and 61097.
LCM(61081,61097) = 171 × 35931 × 1071 × 5711
LCM(61081,61097) = 3731865857
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