What is the Least Common Multiple of 41539 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 41539 and 41547 is 1725820833.
LCM(41539,41547) = 1725820833
Least Common Multiple of 41539 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 41539 and 41547, than apply into the LCM equation.
GCF(41539,41547) = 1
LCM(41539,41547) = ( 41539 × 41547) / 1
LCM(41539,41547) = 1725820833 / 1
LCM(41539,41547) = 1725820833
Least Common Multiple (LCM) of 41539 and 41547 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 41539 and 41547. First we will calculate the prime factors of 41539 and 41547.
Prime Factorization of 41539
Prime factors of 41539 are 41539. Prime factorization of 41539 in exponential form is:
41539 = 415391
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 41539 and 41547.
LCM(41539,41547) = 415391 × 31 × 111 × 12591
LCM(41539,41547) = 1725820833
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