What is the Least Common Multiple of 40855 and 40862?
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 40855 and 40862 is 1669417010.
LCM(40855,40862) = 1669417010
Least Common Multiple of 40855 and 40862 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40855 and 40862, than apply into the LCM equation.
GCF(40855,40862) = 1
LCM(40855,40862) = ( 40855 × 40862) / 1
LCM(40855,40862) = 1669417010 / 1
LCM(40855,40862) = 1669417010
Least Common Multiple (LCM) of 40855 and 40862 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 40855 and 40862. First we will calculate the prime factors of 40855 and 40862.
Prime Factorization of 40855
Prime factors of 40855 are 5, 8171. Prime factorization of 40855 in exponential form is:
40855 = 51 × 81711
Prime Factorization of 40862
Prime factors of 40862 are 2, 20431. Prime factorization of 40862 in exponential form is:
40862 = 21 × 204311
Now multiplying the highest exponent prime factors to calculate the LCM of 40855 and 40862.
LCM(40855,40862) = 51 × 81711 × 21 × 204311
LCM(40855,40862) = 1669417010
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