What is the Least Common Multiple of 9632 and 9642?

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 9632 and 9642 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9632 and 9642, than apply into the LCM equation.

GCF(9632,9642) = 2
LCM(9632,9642) = ( 9632 × 9642) / 2
LCM(9632,9642) = 92871744 / 2
LCM(9632,9642) = 46435872

Least Common Multiple (LCM) of 9632 and 9642 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9632 and 9642. First we will calculate the prime factors of 9632 and 9642.

Prime Factorization of 9632

Prime Factorization of 9642

Now multiplying the highest exponent prime factors to calculate the LCM of 9632 and 9642.

LCM(9632,9642) = 2⁵ × 7¹ × 43¹ × 3¹ × 1607¹
LCM(9632,9642) = 46435872