What is the Least Common Multiple of 50531 and 50540?
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 50531 and 50540 is 2553836740.
LCM(50531,50540) = 2553836740
Least Common Multiple of 50531 and 50540 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50531 and 50540, than apply into the LCM equation.
GCF(50531,50540) = 1
LCM(50531,50540) = ( 50531 × 50540) / 1
LCM(50531,50540) = 2553836740 / 1
LCM(50531,50540) = 2553836740
Least Common Multiple (LCM) of 50531 and 50540 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 50531 and 50540. First we will calculate the prime factors of 50531 and 50540.
Prime Factorization of 50531
Prime factors of 50531 are 13, 23. Prime factorization of 50531 in exponential form is:
50531 = 133 × 231
Prime Factorization of 50540
Prime factors of 50540 are 2, 5, 7, 19. Prime factorization of 50540 in exponential form is:
50540 = 22 × 51 × 71 × 192
Now multiplying the highest exponent prime factors to calculate the LCM of 50531 and 50540.
LCM(50531,50540) = 133 × 231 × 22 × 51 × 71 × 192
LCM(50531,50540) = 2553836740
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