What is the Least Common Multiple of 66400 and 66412?

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 66400 and 66412 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66400 and 66412, than apply into the LCM equation.

GCF(66400,66412) = 4
LCM(66400,66412) = ( 66400 × 66412) / 4
LCM(66400,66412) = 4409756800 / 4
LCM(66400,66412) = 1102439200

Least Common Multiple (LCM) of 66400 and 66412 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66400 and 66412. First we will calculate the prime factors of 66400 and 66412.

Prime Factorization of 66400

Prime Factorization of 66412

Now multiplying the highest exponent prime factors to calculate the LCM of 66400 and 66412.

LCM(66400,66412) = 2⁵ × 5² × 83¹ × 16603¹
LCM(66400,66412) = 1102439200