What is the Least Common Multiple of 66640 and 66654?

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 66640 and 66654 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66640 and 66654, than apply into the LCM equation.

GCF(66640,66654) = 14
LCM(66640,66654) = ( 66640 × 66654) / 14
LCM(66640,66654) = 4441822560 / 14
LCM(66640,66654) = 317273040

Least Common Multiple (LCM) of 66640 and 66654 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66640 and 66654. First we will calculate the prime factors of 66640 and 66654.

Prime Factorization of 66640

Prime Factorization of 66654

Now multiplying the highest exponent prime factors to calculate the LCM of 66640 and 66654.

LCM(66640,66654) = 2⁴ × 5¹ × 7² × 17¹ × 3² × 23²
LCM(66640,66654) = 317273040