What is the Least Common Multiple of 66876 and 66894?

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 66876 and 66894 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66876 and 66894, than apply into the LCM equation.

GCF(66876,66894) = 6
LCM(66876,66894) = ( 66876 × 66894) / 6
LCM(66876,66894) = 4473603144 / 6
LCM(66876,66894) = 745600524

Least Common Multiple (LCM) of 66876 and 66894 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66876 and 66894. First we will calculate the prime factors of 66876 and 66894.

Prime Factorization of 66876

Prime Factorization of 66894

Now multiplying the highest exponent prime factors to calculate the LCM of 66876 and 66894.

LCM(66876,66894) = 2² × 3¹ × 5573¹ × 11149¹
LCM(66876,66894) = 745600524