What is the Least Common Multiple of 90904 and 90914?

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 90904 and 90914 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90904 and 90914, than apply into the LCM equation.

GCF(90904,90914) = 2
LCM(90904,90914) = ( 90904 × 90914) / 2
LCM(90904,90914) = 8264446256 / 2
LCM(90904,90914) = 4132223128

Least Common Multiple (LCM) of 90904 and 90914 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90904 and 90914. First we will calculate the prime factors of 90904 and 90914.

Prime Factorization of 90904

Prime Factorization of 90914

Now multiplying the highest exponent prime factors to calculate the LCM of 90904 and 90914.

LCM(90904,90914) = 2³ × 11¹ × 1033¹ × 131¹ × 347¹
LCM(90904,90914) = 4132223128