What is the Least Common Multiple of 41073 and 41092?
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 41073 and 41092 is 1687771716.
LCM(41073,41092) = 1687771716
Least Common Multiple of 41073 and 41092 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41073 and 41092, than apply into the LCM equation.
GCF(41073,41092) = 1
LCM(41073,41092) = ( 41073 × 41092) / 1
LCM(41073,41092) = 1687771716 / 1
LCM(41073,41092) = 1687771716
Least Common Multiple (LCM) of 41073 and 41092 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 41073 and 41092. First we will calculate the prime factors of 41073 and 41092.
Prime Factorization of 41073
Prime factors of 41073 are 3, 13691. Prime factorization of 41073 in exponential form is:
41073 = 31 × 136911
Prime Factorization of 41092
Prime factors of 41092 are 2, 10273. Prime factorization of 41092 in exponential form is:
41092 = 22 × 102731
Now multiplying the highest exponent prime factors to calculate the LCM of 41073 and 41092.
LCM(41073,41092) = 31 × 136911 × 22 × 102731
LCM(41073,41092) = 1687771716
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