What is the Least Common Multiple of 50828 and 50836?
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 50828 and 50836 is 645973052.
LCM(50828,50836) = 645973052
Least Common Multiple of 50828 and 50836 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50828 and 50836, than apply into the LCM equation.
GCF(50828,50836) = 4
LCM(50828,50836) = ( 50828 × 50836) / 4
LCM(50828,50836) = 2583892208 / 4
LCM(50828,50836) = 645973052
Least Common Multiple (LCM) of 50828 and 50836 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 50828 and 50836. First we will calculate the prime factors of 50828 and 50836.
Prime Factorization of 50828
Prime factors of 50828 are 2, 97, 131. Prime factorization of 50828 in exponential form is:
50828 = 22 × 971 × 1311
Prime Factorization of 50836
Prime factors of 50836 are 2, 71, 179. Prime factorization of 50836 in exponential form is:
50836 = 22 × 711 × 1791
Now multiplying the highest exponent prime factors to calculate the LCM of 50828 and 50836.
LCM(50828,50836) = 22 × 971 × 1311 × 711 × 1791
LCM(50828,50836) = 645973052
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