What is the Least Common Multiple of 40791 and 40800?
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 40791 and 40800 is 554757600.
LCM(40791,40800) = 554757600
Least Common Multiple of 40791 and 40800 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40791 and 40800, than apply into the LCM equation.
GCF(40791,40800) = 3
LCM(40791,40800) = ( 40791 × 40800) / 3
LCM(40791,40800) = 1664272800 / 3
LCM(40791,40800) = 554757600
Least Common Multiple (LCM) of 40791 and 40800 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 40791 and 40800. First we will calculate the prime factors of 40791 and 40800.
Prime Factorization of 40791
Prime factors of 40791 are 3, 13597. Prime factorization of 40791 in exponential form is:
40791 = 31 × 135971
Prime Factorization of 40800
Prime factors of 40800 are 2, 3, 5, 17. Prime factorization of 40800 in exponential form is:
40800 = 25 × 31 × 52 × 171
Now multiplying the highest exponent prime factors to calculate the LCM of 40791 and 40800.
LCM(40791,40800) = 31 × 135971 × 25 × 52 × 171
LCM(40791,40800) = 554757600
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