What is the Least Common Multiple of 86902 and 86914?

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 86902 and 86914 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86902 and 86914, than apply into the LCM equation.

GCF(86902,86914) = 2
LCM(86902,86914) = ( 86902 × 86914) / 2
LCM(86902,86914) = 7553000428 / 2
LCM(86902,86914) = 3776500214

Least Common Multiple (LCM) of 86902 and 86914 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86902 and 86914. First we will calculate the prime factors of 86902 and 86914.

Prime Factorization of 86902

Prime Factorization of 86914

Now multiplying the highest exponent prime factors to calculate the LCM of 86902 and 86914.

LCM(86902,86914) = 2¹ × 43451¹ × 43457¹
LCM(86902,86914) = 3776500214