What is the Least Common Multiple of 50887 and 50907?
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 50887 and 50907 is 2590504509.
LCM(50887,50907) = 2590504509
Least Common Multiple of 50887 and 50907 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50887 and 50907, than apply into the LCM equation.
GCF(50887,50907) = 1
LCM(50887,50907) = ( 50887 × 50907) / 1
LCM(50887,50907) = 2590504509 / 1
LCM(50887,50907) = 2590504509
Least Common Multiple (LCM) of 50887 and 50907 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 50887 and 50907. First we will calculate the prime factors of 50887 and 50907.
Prime Factorization of 50887
Prime factors of 50887 are 151, 337. Prime factorization of 50887 in exponential form is:
50887 = 1511 × 3371
Prime Factorization of 50907
Prime factors of 50907 are 3, 71, 239. Prime factorization of 50907 in exponential form is:
50907 = 31 × 711 × 2391
Now multiplying the highest exponent prime factors to calculate the LCM of 50887 and 50907.
LCM(50887,50907) = 1511 × 3371 × 31 × 711 × 2391
LCM(50887,50907) = 2590504509
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