What is the Least Common Multiple of 50475 and 50487?
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 50475 and 50487 is 849443775.
LCM(50475,50487) = 849443775
Least Common Multiple of 50475 and 50487 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50475 and 50487, than apply into the LCM equation.
GCF(50475,50487) = 3
LCM(50475,50487) = ( 50475 × 50487) / 3
LCM(50475,50487) = 2548331325 / 3
LCM(50475,50487) = 849443775
Least Common Multiple (LCM) of 50475 and 50487 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 50475 and 50487. First we will calculate the prime factors of 50475 and 50487.
Prime Factorization of 50475
Prime factors of 50475 are 3, 5, 673. Prime factorization of 50475 in exponential form is:
50475 = 31 × 52 × 6731
Prime Factorization of 50487
Prime factors of 50487 are 3, 16829. Prime factorization of 50487 in exponential form is:
50487 = 31 × 168291
Now multiplying the highest exponent prime factors to calculate the LCM of 50475 and 50487.
LCM(50475,50487) = 31 × 52 × 6731 × 168291
LCM(50475,50487) = 849443775
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