What is the Least Common Multiple of 54590 and 54599?
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 54590 and 54599 is 2980559410.
LCM(54590,54599) = 2980559410
Least Common Multiple of 54590 and 54599 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54590 and 54599, than apply into the LCM equation.
GCF(54590,54599) = 1
LCM(54590,54599) = ( 54590 × 54599) / 1
LCM(54590,54599) = 2980559410 / 1
LCM(54590,54599) = 2980559410
Least Common Multiple (LCM) of 54590 and 54599 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 54590 and 54599. First we will calculate the prime factors of 54590 and 54599.
Prime Factorization of 54590
Prime factors of 54590 are 2, 5, 53, 103. Prime factorization of 54590 in exponential form is:
54590 = 21 × 51 × 531 × 1031
Prime Factorization of 54599
Prime factors of 54599 are 71, 769. Prime factorization of 54599 in exponential form is:
54599 = 711 × 7691
Now multiplying the highest exponent prime factors to calculate the LCM of 54590 and 54599.
LCM(54590,54599) = 21 × 51 × 531 × 1031 × 711 × 7691
LCM(54590,54599) = 2980559410
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