What is the Least Common Multiple of 41638 and 41647?
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 41638 and 41647 is 1734097786.
LCM(41638,41647) = 1734097786
Least Common Multiple of 41638 and 41647 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41638 and 41647, than apply into the LCM equation.
GCF(41638,41647) = 1
LCM(41638,41647) = ( 41638 × 41647) / 1
LCM(41638,41647) = 1734097786 / 1
LCM(41638,41647) = 1734097786
Least Common Multiple (LCM) of 41638 and 41647 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 41638 and 41647. First we will calculate the prime factors of 41638 and 41647.
Prime Factorization of 41638
Prime factors of 41638 are 2, 109, 191. Prime factorization of 41638 in exponential form is:
41638 = 21 × 1091 × 1911
Prime Factorization of 41647
Prime factors of 41647 are 41647. Prime factorization of 41647 in exponential form is:
41647 = 416471
Now multiplying the highest exponent prime factors to calculate the LCM of 41638 and 41647.
LCM(41638,41647) = 21 × 1091 × 1911 × 416471
LCM(41638,41647) = 1734097786
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