What is the Least Common Multiple of 66900 and 66914?

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 66900 and 66914 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66900 and 66914, than apply into the LCM equation.

GCF(66900,66914) = 2
LCM(66900,66914) = ( 66900 × 66914) / 2
LCM(66900,66914) = 4476546600 / 2
LCM(66900,66914) = 2238273300

Least Common Multiple (LCM) of 66900 and 66914 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66900 and 66914. First we will calculate the prime factors of 66900 and 66914.

Prime Factorization of 66900

Prime Factorization of 66914

Now multiplying the highest exponent prime factors to calculate the LCM of 66900 and 66914.

LCM(66900,66914) = 2² × 3¹ × 5² × 223¹ × 33457¹
LCM(66900,66914) = 2238273300