What is the Least Common Multiple of 69651 and 69663?

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 69663 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 69663, than apply into the LCM equation.

GCF(69651,69663) = 3
LCM(69651,69663) = ( 69651 × 69663) / 3
LCM(69651,69663) = 4852097613 / 3
LCM(69651,69663) = 1617365871

Least Common Multiple (LCM) of 69651 and 69663 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69651 and 69663. First we will calculate the prime factors of 69651 and 69663.

Prime Factorization of 69651

Prime Factorization of 69663

Now multiplying the highest exponent prime factors to calculate the LCM of 69651 and 69663.

LCM(69651,69663) = 3² × 71¹ × 109¹ × 11¹ × 2111¹
LCM(69651,69663) = 1617365871