What is the Least Common Multiple of 40828 and 40836?
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 40828 and 40836 is 416813052.
LCM(40828,40836) = 416813052
Least Common Multiple of 40828 and 40836 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40828 and 40836, than apply into the LCM equation.
GCF(40828,40836) = 4
LCM(40828,40836) = ( 40828 × 40836) / 4
LCM(40828,40836) = 1667252208 / 4
LCM(40828,40836) = 416813052
Least Common Multiple (LCM) of 40828 and 40836 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 40828 and 40836. First we will calculate the prime factors of 40828 and 40836.
Prime Factorization of 40828
Prime factors of 40828 are 2, 59, 173. Prime factorization of 40828 in exponential form is:
40828 = 22 × 591 × 1731
Prime Factorization of 40836
Prime factors of 40836 are 2, 3, 41, 83. Prime factorization of 40836 in exponential form is:
40836 = 22 × 31 × 411 × 831
Now multiplying the highest exponent prime factors to calculate the LCM of 40828 and 40836.
LCM(40828,40836) = 22 × 591 × 1731 × 31 × 411 × 831
LCM(40828,40836) = 416813052
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Related Least Common Multiples of 40836
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