What is the Least Common Multiple of 96654 and 96669?

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 96654 and 96669 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96654 and 96669, than apply into the LCM equation.

GCF(96654,96669) = 3
LCM(96654,96669) = ( 96654 × 96669) / 3
LCM(96654,96669) = 9343445526 / 3
LCM(96654,96669) = 3114481842

Least Common Multiple (LCM) of 96654 and 96669 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96654 and 96669. First we will calculate the prime factors of 96654 and 96669.

Prime Factorization of 96654

Prime Factorization of 96669

Now multiplying the highest exponent prime factors to calculate the LCM of 96654 and 96669.

LCM(96654,96669) = 2¹ × 3² × 89¹ × 181¹ × 23¹ × 467¹
LCM(96654,96669) = 3114481842