What is the Least Common Multiple of 40856 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 40856 and 40862 is 834728936.
LCM(40856,40862) = 834728936
Least Common Multiple of 40856 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 40856 and 40862, than apply into the LCM equation.
GCF(40856,40862) = 2
LCM(40856,40862) = ( 40856 × 40862) / 2
LCM(40856,40862) = 1669457872 / 2
LCM(40856,40862) = 834728936
Least Common Multiple (LCM) of 40856 and 40862 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 40856 and 40862. First we will calculate the prime factors of 40856 and 40862.
Prime Factorization of 40856
Prime factors of 40856 are 2, 5107. Prime factorization of 40856 in exponential form is:
40856 = 23 × 51071
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 40856 and 40862.
LCM(40856,40862) = 23 × 51071 × 204311
LCM(40856,40862) = 834728936
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