What is the Least Common Multiple of 40775 and 40783?
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 40775 and 40783 is 1662926825.
LCM(40775,40783) = 1662926825
Least Common Multiple of 40775 and 40783 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40775 and 40783, than apply into the LCM equation.
GCF(40775,40783) = 1
LCM(40775,40783) = ( 40775 × 40783) / 1
LCM(40775,40783) = 1662926825 / 1
LCM(40775,40783) = 1662926825
Least Common Multiple (LCM) of 40775 and 40783 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 40775 and 40783. First we will calculate the prime factors of 40775 and 40783.
Prime Factorization of 40775
Prime factors of 40775 are 5, 7, 233. Prime factorization of 40775 in exponential form is:
40775 = 52 × 71 × 2331
Prime Factorization of 40783
Prime factors of 40783 are 17, 2399. Prime factorization of 40783 in exponential form is:
40783 = 171 × 23991
Now multiplying the highest exponent prime factors to calculate the LCM of 40775 and 40783.
LCM(40775,40783) = 52 × 71 × 2331 × 171 × 23991
LCM(40775,40783) = 1662926825
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