What is the Least Common Multiple of 50573 and 50579?
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 50573 and 50579 is 2557931767.
LCM(50573,50579) = 2557931767
Least Common Multiple of 50573 and 50579 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50573 and 50579, than apply into the LCM equation.
GCF(50573,50579) = 1
LCM(50573,50579) = ( 50573 × 50579) / 1
LCM(50573,50579) = 2557931767 / 1
LCM(50573,50579) = 2557931767
Least Common Multiple (LCM) of 50573 and 50579 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 50573 and 50579. First we will calculate the prime factors of 50573 and 50579.
Prime Factorization of 50573
Prime factors of 50573 are 103, 491. Prime factorization of 50573 in exponential form is:
50573 = 1031 × 4911
Prime Factorization of 50579
Prime factors of 50579 are 37, 1367. Prime factorization of 50579 in exponential form is:
50579 = 371 × 13671
Now multiplying the highest exponent prime factors to calculate the LCM of 50573 and 50579.
LCM(50573,50579) = 1031 × 4911 × 371 × 13671
LCM(50573,50579) = 2557931767
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