What is the Least Common Multiple of 41527 and 41547?
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 41527 and 41547 is 1725322269.
LCM(41527,41547) = 1725322269
Least Common Multiple of 41527 and 41547 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41527 and 41547, than apply into the LCM equation.
GCF(41527,41547) = 1
LCM(41527,41547) = ( 41527 × 41547) / 1
LCM(41527,41547) = 1725322269 / 1
LCM(41527,41547) = 1725322269
Least Common Multiple (LCM) of 41527 and 41547 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 41527 and 41547. First we will calculate the prime factors of 41527 and 41547.
Prime Factorization of 41527
Prime factors of 41527 are 131, 317. Prime factorization of 41527 in exponential form is:
41527 = 1311 × 3171
Prime Factorization of 41547
Prime factors of 41547 are 3, 11, 1259. Prime factorization of 41547 in exponential form is:
41547 = 31 × 111 × 12591
Now multiplying the highest exponent prime factors to calculate the LCM of 41527 and 41547.
LCM(41527,41547) = 1311 × 3171 × 31 × 111 × 12591
LCM(41527,41547) = 1725322269
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