What is the Least Common Multiple of 66651 and 66659?

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 66651 and 66659 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66651 and 66659, than apply into the LCM equation.

GCF(66651,66659) = 1
LCM(66651,66659) = ( 66651 × 66659) / 1
LCM(66651,66659) = 4442889009 / 1
LCM(66651,66659) = 4442889009

Least Common Multiple (LCM) of 66651 and 66659 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66651 and 66659. First we will calculate the prime factors of 66651 and 66659.

Prime Factorization of 66651

Prime Factorization of 66659

Now multiplying the highest exponent prime factors to calculate the LCM of 66651 and 66659.

LCM(66651,66659) = 3¹ × 13¹ × 1709¹ × 191¹ × 349¹
LCM(66651,66659) = 4442889009