What is the Least Common Multiple of 40852 and 40863?
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 40852 and 40863 is 1669335276.
LCM(40852,40863) = 1669335276
Least Common Multiple of 40852 and 40863 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40852 and 40863, than apply into the LCM equation.
GCF(40852,40863) = 1
LCM(40852,40863) = ( 40852 × 40863) / 1
LCM(40852,40863) = 1669335276 / 1
LCM(40852,40863) = 1669335276
Least Common Multiple (LCM) of 40852 and 40863 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 40852 and 40863. First we will calculate the prime factors of 40852 and 40863.
Prime Factorization of 40852
Prime factors of 40852 are 2, 7, 1459. Prime factorization of 40852 in exponential form is:
40852 = 22 × 71 × 14591
Prime Factorization of 40863
Prime factors of 40863 are 3, 53, 257. Prime factorization of 40863 in exponential form is:
40863 = 31 × 531 × 2571
Now multiplying the highest exponent prime factors to calculate the LCM of 40852 and 40863.
LCM(40852,40863) = 22 × 71 × 14591 × 31 × 531 × 2571
LCM(40852,40863) = 1669335276
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