What is the Least Common Multiple of 50948 and 50958?
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 50948 and 50958 is 1298104092.
LCM(50948,50958) = 1298104092
Least Common Multiple of 50948 and 50958 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50948 and 50958, than apply into the LCM equation.
GCF(50948,50958) = 2
LCM(50948,50958) = ( 50948 × 50958) / 2
LCM(50948,50958) = 2596208184 / 2
LCM(50948,50958) = 1298104092
Least Common Multiple (LCM) of 50948 and 50958 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 50948 and 50958. First we will calculate the prime factors of 50948 and 50958.
Prime Factorization of 50948
Prime factors of 50948 are 2, 47, 271. Prime factorization of 50948 in exponential form is:
50948 = 22 × 471 × 2711
Prime Factorization of 50958
Prime factors of 50958 are 2, 3, 19, 149. Prime factorization of 50958 in exponential form is:
50958 = 21 × 32 × 191 × 1491
Now multiplying the highest exponent prime factors to calculate the LCM of 50948 and 50958.
LCM(50948,50958) = 22 × 471 × 2711 × 32 × 191 × 1491
LCM(50948,50958) = 1298104092
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