What is the Least Common Multiple of 66789 and 66807?

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 66789 and 66807 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66789 and 66807, than apply into the LCM equation.

GCF(66789,66807) = 9
LCM(66789,66807) = ( 66789 × 66807) / 9
LCM(66789,66807) = 4461972723 / 9
LCM(66789,66807) = 495774747

Least Common Multiple (LCM) of 66789 and 66807 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66789 and 66807. First we will calculate the prime factors of 66789 and 66807.

Prime Factorization of 66789

Prime Factorization of 66807

Now multiplying the highest exponent prime factors to calculate the LCM of 66789 and 66807.

LCM(66789,66807) = 3² × 41¹ × 181¹ × 13¹ × 571¹
LCM(66789,66807) = 495774747