What is the Least Common Multiple of 66844 and 66861?

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 66844 and 66861 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66844 and 66861, than apply into the LCM equation.

GCF(66844,66861) = 17
LCM(66844,66861) = ( 66844 × 66861) / 17
LCM(66844,66861) = 4469256684 / 17
LCM(66844,66861) = 262897452

Least Common Multiple (LCM) of 66844 and 66861 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66844 and 66861. First we will calculate the prime factors of 66844 and 66861.

Prime Factorization of 66844

Prime Factorization of 66861

Now multiplying the highest exponent prime factors to calculate the LCM of 66844 and 66861.

LCM(66844,66861) = 2² × 17¹ × 983¹ × 3² × 19¹ × 23¹
LCM(66844,66861) = 262897452