What is the Least Common Multiple of 69651 and 69666?

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 69651 and 69666 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69651 and 69666, than apply into the LCM equation.

GCF(69651,69666) = 3
LCM(69651,69666) = ( 69651 × 69666) / 3
LCM(69651,69666) = 4852306566 / 3
LCM(69651,69666) = 1617435522

Least Common Multiple (LCM) of 69651 and 69666 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69651 and 69666. First we will calculate the prime factors of 69651 and 69666.

Prime Factorization of 69651

Prime Factorization of 69666

Now multiplying the highest exponent prime factors to calculate the LCM of 69651 and 69666.

LCM(69651,69666) = 3² × 71¹ × 109¹ × 2¹ × 17¹ × 683¹
LCM(69651,69666) = 1617435522