What is the Least Common Multiple of 96621 and 96639?

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 96621 and 96639 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96621 and 96639, than apply into the LCM equation.

GCF(96621,96639) = 3
LCM(96621,96639) = ( 96621 × 96639) / 3
LCM(96621,96639) = 9337356819 / 3
LCM(96621,96639) = 3112452273

Least Common Multiple (LCM) of 96621 and 96639 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96621 and 96639. First we will calculate the prime factors of 96621 and 96639.

Prime Factorization of 96621

Prime Factorization of 96639

Now multiplying the highest exponent prime factors to calculate the LCM of 96621 and 96639.

LCM(96621,96639) = 3¹ × 7¹ × 43¹ × 107¹ × 32213¹
LCM(96621,96639) = 3112452273