What is the Least Common Multiple of 66400 and 66414?

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 66414 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 66414, than apply into the LCM equation.

GCF(66400,66414) = 2
LCM(66400,66414) = ( 66400 × 66414) / 2
LCM(66400,66414) = 4409889600 / 2
LCM(66400,66414) = 2204944800

Least Common Multiple (LCM) of 66400 and 66414 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66400 and 66414. First we will calculate the prime factors of 66400 and 66414.

Prime Factorization of 66400

Prime Factorization of 66414

Now multiplying the highest exponent prime factors to calculate the LCM of 66400 and 66414.

LCM(66400,66414) = 2⁵ × 5² × 83¹ × 3¹ × 11069¹
LCM(66400,66414) = 2204944800