What is the Least Common Multiple of 49904 and 49914?

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 of 49904 and 49914 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49904 and 49914, than apply into the LCM equation.

GCF(49904,49914) = 2
LCM(49904,49914) = ( 49904 × 49914) / 2
LCM(49904,49914) = 2490908256 / 2
LCM(49904,49914) = 1245454128

Least Common Multiple (LCM) of 49904 and 49914 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49904 and 49914. First we will calculate the prime factors of 49904 and 49914.

Prime Factorization of 49904

Prime Factorization of 49914

Now multiplying the highest exponent prime factors to calculate the LCM of 49904 and 49914.

LCM(49904,49914) = 2⁴ × 3119¹ × 3² × 47¹ × 59¹
LCM(49904,49914) = 1245454128