What is the Least Common Multiple of 61231 and 61241?
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 61231 and 61241 is 3749847671.
LCM(61231,61241) = 3749847671
Least Common Multiple of 61231 and 61241 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61231 and 61241, than apply into the LCM equation.
GCF(61231,61241) = 1
LCM(61231,61241) = ( 61231 × 61241) / 1
LCM(61231,61241) = 3749847671 / 1
LCM(61231,61241) = 3749847671
Least Common Multiple (LCM) of 61231 and 61241 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 61231 and 61241. First we will calculate the prime factors of 61231 and 61241.
Prime Factorization of 61231
Prime factors of 61231 are 61231. Prime factorization of 61231 in exponential form is:
61231 = 612311
Prime Factorization of 61241
Prime factors of 61241 are 47, 1303. Prime factorization of 61241 in exponential form is:
61241 = 471 × 13031
Now multiplying the highest exponent prime factors to calculate the LCM of 61231 and 61241.
LCM(61231,61241) = 612311 × 471 × 13031
LCM(61231,61241) = 3749847671
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