What is the Least Common Multiple of 40593 and 40604?
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 40593 and 40604 is 1648238172.
LCM(40593,40604) = 1648238172
Least Common Multiple of 40593 and 40604 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40593 and 40604, than apply into the LCM equation.
GCF(40593,40604) = 1
LCM(40593,40604) = ( 40593 × 40604) / 1
LCM(40593,40604) = 1648238172 / 1
LCM(40593,40604) = 1648238172
Least Common Multiple (LCM) of 40593 and 40604 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 40593 and 40604. First we will calculate the prime factors of 40593 and 40604.
Prime Factorization of 40593
Prime factors of 40593 are 3, 7, 1933. Prime factorization of 40593 in exponential form is:
40593 = 31 × 71 × 19331
Prime Factorization of 40604
Prime factors of 40604 are 2, 10151. Prime factorization of 40604 in exponential form is:
40604 = 22 × 101511
Now multiplying the highest exponent prime factors to calculate the LCM of 40593 and 40604.
LCM(40593,40604) = 31 × 71 × 19331 × 22 × 101511
LCM(40593,40604) = 1648238172
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