What is the Least Common Multiple of 8909 and 8914?

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 8909 and 8914 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8909 and 8914, than apply into the LCM equation.

GCF(8909,8914) = 1
LCM(8909,8914) = ( 8909 × 8914) / 1
LCM(8909,8914) = 79414826 / 1
LCM(8909,8914) = 79414826

Least Common Multiple (LCM) of 8909 and 8914 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8909 and 8914. First we will calculate the prime factors of 8909 and 8914.

Prime Factorization of 8909

Prime Factorization of 8914

Now multiplying the highest exponent prime factors to calculate the LCM of 8909 and 8914.

LCM(8909,8914) = 59¹ × 151¹ × 2¹ × 4457¹
LCM(8909,8914) = 79414826