What is the Least Common Multiple of 96633 and 96642?

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 96633 and 96642 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96633 and 96642, than apply into the LCM equation.

GCF(96633,96642) = 9
LCM(96633,96642) = ( 96633 × 96642) / 9
LCM(96633,96642) = 9338806386 / 9
LCM(96633,96642) = 1037645154

Least Common Multiple (LCM) of 96633 and 96642 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96633 and 96642. First we will calculate the prime factors of 96633 and 96642.

Prime Factorization of 96633

Prime Factorization of 96642

Now multiplying the highest exponent prime factors to calculate the LCM of 96633 and 96642.

LCM(96633,96642) = 3⁴ × 1193¹ × 2¹ × 7¹ × 13¹ × 59¹
LCM(96633,96642) = 1037645154